Mathematics: What is the solution to log (9x)-log2^3= 3?

What is the solution to log (9x)-log2^3= 3?

desiwill01

07.01.2022

For this case we have that by definition of properties logarithm is met:

$log_ {b} (x) -log_ {b} (y) = log_ {b} (\frac {x} {y})$

So, rewriting the expression we have:

$log (\frac {9x} {2 ^ 3}) = 3\\log (\frac {9x} {8}) = 3$

By definition of logarithm we have to:

$log_ {b} (x) = y$ is equivalent to b ^ y = x

So:

$10 ^ 3 = \frac {9x} {8}\\9x = 8 * 10 ^ 3\\9x = 8 * 1000\\9x = 8000\\x = \frac {8000} {9}$

$x = \frac {8000} {9}$

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Kekkdkskdkdk

10.06.2020

Step-by-step explanation:

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