Question

a power log x base a = ?

Answer 1

Here's the solution. Hope it helps.

Answer 2

Concept:

If an integer has logarithm function as power, and if the base of the logarithm function and that integer is same then the input value of the logarithmic function is the ultimate value.

For example, $m^{\log_m^n}=n$.

Given:

Given the statement is "a power log x base a"

Find:

The value of the above mathematical expression.

Solution:

Given mathematical statement is "a power log x base a"

If we write it in mathematical word then we get,

$a^{\log_ax}$

Calculating we get,

$=x$, logarithm function on power is cancelled as integer and the base of log are same.

Hence the value of a power log x base a = x.

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