Mathematics: PLEEEEEEEEEEEEEEEASE HELP ME WITH THIS! IT IS DUE TOMORROW!!!

PLEEEEEEEEEEEEEEEASE HELP ME WITH THIS! IT IS

Ответ:

xFoxMusic

04.02.2022

Mathematics

can you provide more information

Step-by-step explanation:

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Ответ:

sophiat17

30.05.2022

Mathematics

To solve this problem we are going to use the power rule of logarithms: $ln(a^{x} )=xln(a)$ . Or in words: the logarithm of a power is the power times the logarithm of the base.
So, the first thing we are going to do is take natural logarithm,

, to both sides of our equation:
$ln(5^{x+2} )=ln(9^{2x+3} )$
Now, by the power rule of logarithms:
(x+2)ln(5)=(2x+3)ln(9)

$\frac{(x+2)ln(5)}{2x+3} =ln(9)$
$\frac{x+2}{2x+3}= \frac{ln(9)}{ln(5)}$
$\frac{x+2}{2x+3} =1.365$
x+2=1.365(2x+3)

$x=- \frac{2.095}{1.73}$
x=-1.211

Using our calculator we can conclude that

is approximately -1.211

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PLEEEEEEEEEEEEEEEASE HELP ME WITH THIS! IT IS DUE TOMORROW!!!

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