Answer:
15 (3+1)
Step-by-step explanation:
Hope this helps :)
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:
444,444
Step-by-step explanation:
total amount=737373
jerry=292929
Brandon=unknown
To figure the amount of video games Brandon has, we have to subtract the amount of both he and his friend altogether amount with Jerry's current amount of video games.
737,373-292,929=444,444
So, by subtracting the two, the answer would be 444,444.
Brandons total amount of video games:444,444
The value of the building would be $699,400 in 4 years.
<h3>What will be the value of the building?</h3>
Depreciation is the when the value of an asset reduces as a result of wear and tear. Straight line depreciation is a method used in depreciating the value of an asset linearly with the passage of time.
The equation that can be used to determine the value of the building with a straight line depreciation is:
Value of the asset = initial value of the asset - (number of months x deprecation rate)
y = 829,000 - 2700x
The first step is to determine the number of months it would take for the building to have a value of $699,400.
$699,400 = 829,000 - 2700x
829,000 - 699,400 = 2,700x
129,600 = 2,700x
x = 129,600 / 2,700
x = 48 months
Now convert, months to years
1 year = 12 months
48 / 12 = 4 years
To learn more about depreciation, please check: brainly.com/question/11974283
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