Asked by Jus

Given the product law of logarithms, prove the law of exponents.

Given the quotient law of logarithms, prove the quotient law of exponents.

Answered by bobpursley
tp://www.mathsisfun.com/algebra/exponent-laws.html

I will be happy to critique your work.
Answered by Jus
Well I know that a product law of logs is

log(a) + log(b) = log(ab)

and the quotient law of logs is

log(a)-log(b)=log(a/b)

But how do I change those laws, or relate it to prove the law of exponents.
I know what the law of exponents are, but I just need help proving it IN RELATION to the law of logs (as the question states)...?
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