Question

Simplify the following expression. log(9x5) + 5 log(1/x)

Answer 1

log(9) simplified.....

Answer 2

2log(3)

Explanation:

`log(9x^5) + 5 log((1)/(x))`

To simplify the given expression we apply log property

`log m + log n = log (mn)`

`n log m = log {m^n}`

`log(9x^5) + 5 log((1)/(x))`

`log(9x^5) +log((1)/(x))^5`

`log(9x^5) +log((1)/(x^5))`

now multiply the log terms

`log(9x^5 \cdot (1)/(x^5))`

`log(9)= log(3^2)= 2log(3)`