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

Answer: A

Explanation:

Answer 2

The correct option is 1.

Explanation:

The given expression is

`log_ax`

The value of a is 1 and the value of b is 1.

According to the logarithm property,

`log_mn=(log_pm)/(log_pn)`

Using this property, we get

`log_ax=(log_bx)/(log_ba)`

The required expression is
`(log_bx)/(log_ba)`.

`log_1x=(log_1x)/(log_11)`

`log_1x=log_1x`
`[\because log_aa=1]`

Left hand side is equal to the right hand sides, therefore option 1 is correct.