SOLUTION: Log[4](36)-2Log[4](X)=Log[6](9)

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Question 616838: Log[4](36)-2Log[4](X)=Log[6](9)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Log[4](36)-2Log[4](X)=Log[6](9)
2Log[4](X)=Log[4](36)-Log[6](9)
convert to log base 4
log4[x^2]=log4[36]-(log4[9]/log4[6]) ≈1.3587
convert to exponential form:
4^1.3587=x^2≈6.5769
x^2≈6.5769
x≈±√6.5769≈±2.5645
x≈-2.5645 (reject, x>0)
or
x≈2.5645