Question

Write the expression as a single natural logarithm. 3 ln 6 + 4 ln x

Answer 1

ln(216
`x^(4)` )

Explanation:

Using the rules of logarithms

log x + log y = log(xy)

log
`x^(n)` ⇔ n log x

Given

3ln6 + 4lnx

= ln 6³ + ln
`x^(4)`

= ln (216
`x^(4)` )