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nekit [7.7K]
3 years ago
14

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

Mathematics
2 answers:
larisa [96]3 years ago
4 0
  As we are given the equation
<span> 9^(x - 2)=27
solving
 =</span><span>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</span>
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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