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:
[tex]log_ax=\frac{log_bx}{log_ba}[/tex]
Therefore, Option 1st is correct.
Step-by-step explanation:
We have given that a=1 and b=1
We need to find expression equivalent to the given expression
We have:[tex]log_ax[/tex]
We have a logarithmic property:
[tex]log_my=\frac{log_ny}{log_nm}[/tex] (1)
Here, we have m=a, x=y and n=b on substituting the values in (1) we get:
[tex]log_ax=\frac{log_bx}{log_ba}[/tex]
Therefore, Option 1st is correct.
And when a=1 and b=1 we get:
[tex]log_1x=\frac{log_1x}{log_11}[/tex]