SOLUTION: How do I solve the following logarithm for x? The base of the log is x. log64=3/2

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Question 698509: How do I solve the following logarithm for x?
The base of the log is x.
log64=3/2
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

log%28x%2C64%29=3%2F2....in base ten will be

log%2864%29%2Flog%28x%29=3%2F2...cross multiply

2log%2864%29=3log%28x%29

2log%282%5E6%29=3log%28x%29

2%2A6log%282%29%2F3=log%28x%29

2%2Across%286%292log%282%29%2Fcross%283%29=log%28x%29

2%2A2log%282%29=log%28x%29

4log%282%29=log%28x%29

log%282%5E4%29=log%28x%29

2%5E4=x

16=x