Question

Use the Product Property of Logarithms to write the logarithm, log8(3x), as a sum of logarithms. Simplify if possible.

Answer 1

3log2+log3+logx

Explanation:

log8(3x) can be written as log(8•3x)

Log laws says that log(ab)=log(a)+log(b)

So log (8•3•x)=log8+log3+logx

log8 can be written into prime factorization of log(2^3) and by more log laws that can be written as 3log2