SOLUTION: Log base 3 of x = log base x of 2 Solve giving your answer to 2 decimal places.

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Question 1000259: Log base 3 of x = log base x of 2
Solve giving your answer to 2 decimal places.
Answer by josgarithmetic(39626) About Me  (Show Source):
You can put this solution on YOUR website!
log%283%2Cx%29=log%28x%2C2%29

Use the change of base formula for the right hand side member.

log%283%2Cx%29=log%283%2C2%29%2Flog%283%2Cx%29

log%283%2Cx%29%2Alog%283%2Cx%29=log%283%2C2%29

log%283%2Cx%29=sqrt%28log%283%2C2%29%29
Base ten on the left side member seems like a good idea, again using change of base formula.

log%28%28x%29%29%2Flog%28%283%29%29=sqrt%28log%283%2C2%29%29

log%28%28x%29%29=log%28%283%29%29%2Asqrt%28log%283%2C2%29%29,
still not finished; maybe again use change of base formula for log%283%2C2%29, then evaluate right hand side, and then find antilog in base ten of entire right hand side to have x.