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

Answer 1

Answer:

The correct option is 1.

Step-by-step 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,

$log_mn=\frac{log_pm}{log_pn}$

Using this property, we get

$log_ax=\frac{log_bx}{log_ba}$

The required expression is $\frac{log_bx}{log_ba}$.

$log_1x=\frac{log_1x}{log_11}$

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

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