Rewrite expression as a single logarithm all log base 4 3log

Rewrite expression as a single logarithm
(all log base 4)
3log(x^4) -2log (x^-2) +4 log (x)

Please help and thank you very much.

Solution

3log(x⁴) -2log (x^-2) +4 log (x)

by properties of logaritham (m)log(a) =log(a^m)

log(x⁴)³ +log (x^-2)^-2 +log (x)⁴

by law of exponents (a^m)ⁿ=a^mn

log(x¹²) +log (x⁴) +log (x)⁴

by properties of logaritham log(m)+log(n)=log(mn)

=log(x¹²x⁴x⁴)

=log(x²⁰)