Question

Which expression can be used to approximate the expression below,for all positive number a,b and x where a =/ 1 and b=/ 1

Loga^x

Answer 1

It's A on edge.

Answer 2

`log_ax=(log_bx)/(log_ba)`

Therefore, Option 1st is correct.

Explanation:

We have given that a=1 and b=1

We need to find expression equivalent to the given expression

We have:
`log_ax`

We have a logarithmic property:

`log_my=(log_ny)/(log_nm)` (1)

Here, we have m=a, x=y and n=b on substituting the values in (1) we get:

`log_ax=(log_bx)/(log_ba)`

Therefore, Option 1st is correct.

And when a=1 and b=1 we get:

`log_1x=(log_1x)/(log_11)`