3 years ago

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

2 answers:

4 0

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

ASHA 777 [7]3 years ago

3 0

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

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