Question

Suppose that n is a positive number and Log10 n = q. Which expression always equals the value of Log10 n^2?

Answer 1

2q

Answer:

solution given:

`log_(10) n=q`

now

`Log_(10 )n^2=?`

by using property of logarithms

`log_(a) n^p=p log_(a)n`

now

`Log_(10 )n^2=2 Log_(10 )n`

=2q

since
`log_(10) n=q`

Explanation: