Question

Write 1-2log7x as a single logarithm

Answer 1

`log_(7) (7)/(x^(2) )`

Explanation:

We need to write
`1 - 2log_(7)x` as a single logarithm.

We know that

`log_(7)7 = 1`

Therefore we have:

`log_(7)7 - 2log_(7)x`

→
`log_(7)7 - log_(7)x^(2)`

→
`log_(7) (7)/(x^(2) )`

The solution is:
`log_(7) (7)/(x^(2) )`