Answers
Given:
The equation is:
[tex]\log_{(x-2)}(x^2-4x-6)=\dfrac{4}{5}[/tex]
To find:
The exponential equation of the given logarithmic equation.
Solution:
We have,
[tex]\log_{(x-2)}(x^2-4x-6)=\dfrac{4}{5}[/tex]
According to property of logarithm,
[tex]\log_ax=b\Leftrightarrow x=a^b[/tex]
Using the property of logarithm, we get
[tex]x^2-4x-6=(x-2)^{\frac{4}{5}}[/tex]
Therefore, the required exponential equation is [tex]x^2-4x-6=(x-2)^{\frac{4}{5}}[/tex].
Related Questions
Your new car went 258 miles on 7.3 gallons of gasoline. How many miles per gallon is this?
Answers
Which polynomial is prime? x2 – 36 x2 + 16 x2 – 7x + 12 x2 – x – 20
Answers
Answer:
B
Step-by-step explanation
ed 2020
What is the answer to this question
Answers
Answer:
Excuse me, I believe you forgot to put your questio! To get the desired answer, I highly recommend to oost another question!
Have a great day!
Yours Truely, TheAnimeCatUwU
Step-by-step explanation:
7x>56 this is for math
Answers
Answer:
x>8 should be correct!
Step-by-step explanation:
56/7 = 8
what is the circumference of a circle with a diameter of 23.4 inches?
please hellp
Answers
Answer:
Step-by-step explanation:
Circumference = 73.51
Hope this helps :)
Answer:
Assuming that [tex]\pi[/tex] is equivalent to 3.14, the circumference of the circle is 73.476 inches.
Step-by-step explanation:
The formula for the circumference of a circle is [tex]2\pi r[/tex], or the diameter of a circle multiplied by [tex]\pi[/tex]. Because the diameter is 23.4, that means the circumference would be 23.4 * 3.14 = 73.476 inches.
What is the value of a?
45°
(2x-5)
Answers
Answer:
x=70
Step-by-step explanation:
To solve this problem, you set up the equation 45+(2x-5)=180
Next, subtract 45 from 180 to get the equation 2x-5=135
After that, add 5 to 135 to get 2x=140
Divide 140 by 2 to get X=70
A cylindrical tea cup has a height of 7 centimeters, and its base has a radius of 3 centimeters. What is the volume of the tea cup
nearest tenth.
Answers
197.8
Pog Pog Pog Pog Pog
Find the missing angle and round to the nearest tenth! Thank you :)
Answers
According to this diagram, what is tan 62°?
62°
17
8
280
90°
15
O A.
8
17
17
B.
8
O C.
15
17
O D.
17
15
O E.
8
15
Answers
Where is the diagram???
Cesium-137 has a half-life of 30 years. Find the
amount of cesium-137 left from a 100 milligram
sample after 180 years.
Answers
Answer:
199 yr
Step-by-step explanation:
Answer:
199 years
Step-by-step explanation:
Hope it helps u
FOLLOW MY ACCOUNT PLS PLS
Please help me!
What is the volume of the prism below?
2 3/4 units3
3 1/2 units3
5 units3
8 units3
Answers
Answer:
Step-by-step explanation:
Answer:
3 1/2 units cubed.
1 3/4 · 1 · 2 = 3 1/2
What is the volume of the regular pyramid below?
12,12,71
A. 3408 units3
B. 852 units3
C. 10,224 units3
D. 270 units3
Answers
Katy is going to select a card from the group of cards shown. What is the probability that Katy will select a card labeled 5?
Answers
Answer:
1/2
Step-by-step explanation:
well, there are 10 cards altogether
then, count how many 5's there are.
there are 5.
therefore, 5/10 or 1/2
ZABC and ZQRS are supplementary angles.
If the measure of ZABC = 175°, what is the
measure of ZQRS?
mZQRS = [?]
Answers
<QRS=5°
Answer:
<ABC+<QRS=180
175+<QRS=180
<QRS=180-175=5
What is 814 divided by 22?
Answers
Answer:
37
Step-by-step explanation:
if you put it in a calculator thats the answer
two different ways to rewrite 3xyz + 6yz using the distributive property.
Answers
Answer:
3yz(x+2)3yz+2×3yzhope it helps.
So if I buy something for $26.98 and buy something else for $6.10 what will be the Total.
Answers
Answer:
33.08 $
I believe we add the two together and get our total !
— hope this helped :)!
The virus is already 28% loaded. If it's loading at a rate of 12% every 10 minutes, how much time do we have before it is 100% loaded?
Answers
Answer:
1 hour
60 mins
Step-by-step explanation:
Pleaseee helppp which one is and whyy!!!!
Answers
Answer:
c = 17(83)-17(16)=1139
Step-by-step explanation:
After interviewing 1,200 people, a Gallup Poll reports with 95% confidence that 23% of adults exercise at least 3 times a week with a margin of error of 6%. Interpret the confidence level in the context of the scenario. If we were to select many random samples of from the same population and construct a 95% confidence interval using each sample, about % of the intervals would capture the exercise.
Answers
Answer:
1. 1,200 people
2. 95
3. true proportion of adults who
Step-by-step explanation:
[tex]2x^2+40=0[/tex]
Answers
Answer:
x^2 = -20
Step-by-step explanation:
5. Claude is wrapping cylindrical bug spray containers in tissue paper to put them inside a box.
Each container has a height of 12.7 centimeters and a radius of 3 centimeters.
If he is wrapping a total of 5 bug spray containers, how many square
centimeters of tissue paper will he need?
Answers
Answer:
[tex]1197.42\ cm^2[/tex]
Step-by-step explanation:
Given that,
The height of cylinder, h = 12.7 cm
The radius of the cylinder, r = 3 cm
The curved surface area of a cylinder for 5 bug spray is given by :
[tex]C=5\times 2\pi rh\\\\C=10\times \dfrac{22}{7}\times 3\times 12.7\\\\C=1197.42\ cm^2[/tex]
So, [tex]1197.42\ cm^2[/tex] of tissue papers will be needed.
Some one please help!!
Answers
Answer:
$542.50
Step-by-step explanation:
Find the Z-scores that separate the middle 61% of the distribution from the area in the tails of the standard normal distribution
Answers
Answer:
Z-scores between -0.86 and 0.86 separate the middle 61% of the distribution from the area in the tails of the standard normal distribution
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Middle 61%
Between the 50 - (61/2) = 19.5th percentile and the 50 + (61/2) = 80.5th percentile.
19.5th percentile.
Z with a pvalue of 0.195. So Z = -0.86
80.5th percentile.
Z with a pvalue of 0.805. So Z = 0.86.
Z-scores between -0.86 and 0.86 separate the middle 61% of the distribution from the area in the tails of the standard normal distribution
no links please or you will be reported .
Answers
Answer:
Step-by-step explanation:
2 should be 50 degrees as well. 1 should be 130 (to get the needed 180) 3 should be 130 degrees. Hopefully this is correct
Can someone help me pls
Answers
Answer:
x=78
Step-by-step explanation:
q is 90 degrees since it is a right angle,
p=12
90 plus 12 =102
x=180-102
x=78
Trigonometry question
Answers
Answer:
The answer would be 6.8 I believe.
Step-by-step explanation:
Step 1: You would have to find which side is the opposite , hypotenuse and adjacent to the degree. 8 is adjacent and x is the hypotenuse. Then you can use a strategy I like which is called SOH CAH TOA to find if you need to use sin, cosine, or tangent. It tells you in the acronym too how to set up the equation.
Step 2: In this case we need cosine since it is adjacent over hypotenuse (C in the acronym is for cosine A is for adjacent and H is for hypotenuse) so the equation would be Cos32= 8/x
Step 3: Then solve the equation, so you would do
8cos32=x
Put that into the calculator (I'm using a TI-84) and make sure it is in degree mode and you would get 6.78 but round that up to 6.8.
I hope this helps and that I did it right!!
[tex] log_{2}(x) = - 4[/tex]
WILL GIVE BRANIEST FOR LEGIT ANSWERS WITH WORK
Answers
Answer: x = 1/16
Step-by-step explanation:
Since the inverse of a Logarithm is an exponential function, we know that the final solution has to involve an exponential function somewhere in it.
1. log B(2) {x} = -4 || given
2. x = 2 ^ -4 || Logarithm rule that allows you to move the base of the logarithm to the base of the exponent on the other side. For example, if you had log B(5) {x} = 3, the base of 5 would move over to the other side and it would be raised to 3; x = 5^3.
3. x = (1) / (2^4) || Simplify. Use the negative exponent rule. This rule always leaves a numerator of 1, and a denominator of your exponent. In this case, it will be 2 ^ -4, so you will do 2^4 which is 16 and you will put that over 1. Resulting in your final answer of x = 1/16
Please give a logical reason to support this statement:
Modern technology helps businesses grow and increase its productivity.
I will give branliest, i just need this asap (yall can give me more than one answer aight)
Answers
Answer:
Modern technology allows businesses to create products and conduct their services at a faster rate and for a lower price. Because modern technology helps people to complete tasks at a faster rate, less people are needed, less mistakes occur, and more money can be earned.
Step-by-step explanation:
Janey paints a block of wood with gold glitter for an art project. The block measures 8 inches by 10 inches by 20 inches. After she's done, she decides to make two blocks by cutting through the block on the red line. She still wants each block to be covered with gold glitter
1. what is the shape of each cut surface? What are its dimensions? and what is the total area of paint she still needs to paint?
2. What is the area of each cut surface?
Answers
Answer:
1. Square, 10in x 8in, 160in^2
2. Each surface has an area of 80in^2
Step-by-step explanation:
1. Rectangle is the shape of each cut surface which is 10in by 8 in. Since the block was already painted with glitter, she needs to paint both sides of the cut surface only, 2*8in * 10in = 160in^2.
2. Each cut will have a surface area of 10in * 8in = 80in^2
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