Question

how do i simplify log3(81x^4)

Answer 1

log(ab) = log(a) +log(b) . . . . . . . . . this is the whole point of logarithms

$\log_{3}(81x^{4})} = \log_{3}(3^{4}) +log_{3}(x^{4}) = 4+4log_{3}(x)$