Question

Which is 5logx - 6log(x-8) written as a single logarithm?

Answer 1

a edge

Explanation:

Answer 2

option a

`log(x^(5) )/((x-8)^(6) )`

Explanation:

Given in the question an expression

5logx - 6log(x-6)

To solve this question we will apply two of the logarithm property

1) power rule

alogx = log
`x^(n)`

log
`x^(5)` - log
`(x-8)^(6)`

2) substraction rule

The log of a quotient is the difference of the logs

loga (x/y) = loga x - loga y

`logx^(5)- log(x-8)^(6)`

log
`(x^(5) )/((x-8)^(6) )`