SOLUTION: logx9 = 2^3 Solve for X

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Question 89334: logx9 = 2^3
Solve for X
Answer by josmiceli(6783) About Me  (Show Source):
You can put this solution on YOUR website!
log%28x%2C9%29+=+2%5E3
Read it like this: "The exponent with base x which gives me 9 is 2^3"
Then rewrite it as
x%5E%282%5E3%29+=+9
x%5E8+=+9
x%5E8+=+3%5E2
This is
%28x%5E4%29%5E2+=+3%5E2
take the square root of both sides
x%5E4+=+3
Take the 4th root of both sides
x+=+3%5E%281%2F4%29
answer