Mathematics: What is the solution to the equation 9^(x - 2) = 27 ? x = 2.5 x = 0.5 x = -0.5 x = 3.5

What is the solution to the equation 9^(x - 2) =

Ответ:

hellokitty1647

17.01.2022

$9^{x-2}=27\\\\(3^2)^{x-2}=3^3\\\\3^{2(x-2)}=3^3\\\\3^{2x-4}=3^3\iff2x-4=3\ \ \ |add\ 4\ to\ both\ sides\\\\2x=7\ \ \ \ |divide\ both\ sides\ by\ 2\\\\\boxed{x=3.5}$

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Ответ:

ericgideon

17.01.2022

Mathematics

As we are given the equation
9^(x - 2)=27
solving
=3^2(x-2)=3^3
just equal the basis
2(x-2)= 3

x=7/2=3.5
so correct option is D
hope it helps

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Ответ:

nana55959

01.04.2020

Mathematics

answer:

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What is the solution to the equation 9^(x - 2) = 27 ?
x = 2.5
x = 0.5
x = -0.5
x = 3.5

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