Relationship between exponent and logarithm

Question

How is the property $b^{x+y} = b^x\cdot b^y$ related to the property $\log_b(xy) = \log_b(x)+\log_b(y)$?

By means of the fact that, when books prove the latter, they write the former, then a "thus", and finally the latter. — , May 02 '18 at 07:59
Review your definition/properties of the logarithm. You should be able to prove the relation between these statements. — , May 02 '18 at 08:17

score 1 · Answer 1 · answered May 02 '18 at 08:12

1

Very strongly.

Hint: Write $A:=b^x$ and $B:=b^y$.

answered May 02 '18 at 08:12

Berci

1 Answers1