SOLUTION: How do I solve for x? Log x 1/64= -3

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Question 167970: How do I solve for x?
Log x 1/64= -3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
log%28x%2C%281%2F64%29%29=-3 Start with the given equation


log%28x%2C%281%2F4%5E3%29%29=-3 Rewrite 64 as 4%5E3


log%28x%2C%284%5E%28-3%29%29%29=-3 Rewrite 1%2F4%5E3 as 4%5E%28-3%29


x%5E%28-3%29=4%5E%28-3%29 Rewrite the equation using the property: log%28b%2C%28x%29%29=y ====> b%5Ey=x


Since the exponents are equal, this means that the bases are equal. So this means that x=4


So the solution is x=4