SOLUTION: Solve to four decimal places:log(4) (x-9)=2. Thank You

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Question 43874: Solve to four decimal places:log(4) (x-9)=2.
Thank You

Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
i shall write log-base4 as just log, for ease:

Now we have log(x-9)=2. To remove the log(4) we need to raise both sides to power 4:

+x-9+=+4%5E2+
x-9 = 16
x = 25

if you really need it to 4dp: 25.0000

jon.