Algerbra problems

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mbebx

Mathematics

Description

1. Find an equation of the inverse relation for: y = 4x - 5 2. Use the properties of logarithms to simplify log4 (4x2) for x > 0 3. Find inverse f(x)= 24x+5/ (x-120)and x ≠ 4 4. Express as a single logarithm and, if possible, simplify: loga 75 + loga 2

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Explanation & Answer

Here is my answer :)

Algebra problems
1. Find an equation of the inverse relation for: y = 4x – 5
To find the inverse, we interchange the variables:

Then we solve for y:

So:
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2. Use the properties of logarithms to simplify log4 (4x2) for x > 0
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If we apply the exponent rule
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)

We apply the log rule
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)

We apply:
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)

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(

So we can solve the second log (
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Anonymous
This is great! Exactly what I wanted.

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