Question

If 2x3= y, then log y equals

Answer 1

(d) log(2) +3log(x)

Explanation:

You want the logarithm of y when 2x³ = y.

Rules of logarithms

log(ab) = log(a) +log(b)

log(a^b) = b·log(a)

Application

The logarithm of y will be ...

log(2x³) = log(2) +log(x³)

= log(2) +3·log(x)