SOLUTION: Solve the following: log(4x+9)=1

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Question 114803: Solve the following:
log(4x+9)=1

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
y=log%28b%2Cx%29 => x=b%5Ey

Since you did not specify the base (b in the above), I'm going to assume base 10 according to the convention that log implies base 10, ln implies base e, and anything else has to be specified.

So, log%28%284x%2B1%29%29=1 => %284x%2B1%29=10%5E1

4x%2B1+=+10
4x=9
x=9%2F4

For the general base, b, the answer would be:

x=%28b-1%29%2F4