Simplify the expression if possible.

Question

log(100^4z)

Answer 1

log x ^ n = n * log ( a )

log ( 100 ^ ( 4 z ) ) = 4 z * log ( 100 )

If " log " mean a logarithm to the base 10 then:

log ( 100 ) = 2

so :

log ( 100 ^ ( 4 z ) ) = 4 z * 2 = 8 z