The logarithmic expression
can be expressed as
.
Given to us
![\rm log_w\dfrac{(x^2-6)^4}{\sqrt[3]{x^2-8}}](https://tex.z-dn.net/?f=%5Crm%20log_w%5Cdfrac%7B%28x%5E2-6%29%5E4%7D%7B%5Csqrt%5B3%5D%7Bx%5E2-8%7D%7D)
<h3>Which expression is equivalent to
![\rm log_w\dfrac{(x^2-6)^4}{\sqrt[3]{x^2-8}}](https://tex.z-dn.net/?f=%5Crm%20log_w%5Cdfrac%7B%28x%5E2-6%29%5E4%7D%7B%5Csqrt%5B3%5D%7Bx%5E2-8%7D%7D)
?</h3>
To solve the problem we will use the basic logarithmic properties,
![\rm log_w\dfrac{(x^2-6)^4}{\sqrt[3]{x^2-8}}](https://tex.z-dn.net/?f=%5Crm%20log_w%5Cdfrac%7B%28x%5E2-6%29%5E4%7D%7B%5Csqrt%5B3%5D%7Bx%5E2-8%7D%7D)
Using the logarithmic property
,
![=\rm log_w{(x^2-6)^4} - log_w{\sqrt[3]{x^2-8}}](https://tex.z-dn.net/?f=%3D%5Crm%20log_w%7B%28x%5E2-6%29%5E4%7D%20-%20log_w%7B%5Csqrt%5B3%5D%7Bx%5E2-8%7D%7D)
Using the exponential property
,

Using the logarithmic property
,

Hence, the logarithmic expression
can be expressed as
.
Learn more about Logarithmic Expression:
brainly.com/question/7302008
Answer:
7.C
9.C
10.6x+5=15
Step-by-step explanation:
7 is trying to trick you. You have to divide 43.20 by 5 instead of 4. They split the tickets, but they gave some to her too.
For 9, add 2 to both sides. You will get 4x= 16. Then divide both sides by 4. You will get 4 as your answer.
For 10, on the left side there are 6 boxes with the letter x on it. This means 6x. There is also 5 circles with the number 1 on it. Then you will have 6x+5. Then the right side. There are 15 1’s total. Add them all up and you get 6x+5=15. In this question, you don’t have to answer it.
Man I wish I had your homework.
Answer:
0.07 or 7%
Step-by-step explanation:
I = Prt
630 = (1000)(9)r
630 = 9000r
r = 0.07
Y = 3x + 3
The slope is 3 and the y intercept is 3