SOLUTION: log x base of 32 equals 5/2

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Question 1069413: log x base of 32 equals 5/2
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
log%28x%2C32%29=5%2F2

log%28x%2C%282%5E5%29%29=5%2F2

5%2Alog%28x%2C2%29=5%2F2

5%2Alog%28x%2C2%29%2F5=%285%2F2%29%281%2F5%29

log%28x%2C2%29=1%2F2

x%5E%281%2F2%29=2

exponentiate both sides to power, 2.

%28x%5E%281%2F2%29%29%5E2=2%5E2

highlight%28x=4%29