Question

Simplify the expression.

twelve to the power of log base twelve of twenty four.


A.) 24

B.) 288

C.) 3456

D.) 12

Answer 1

`a^(\log_a b)=b\\\\12^{\log_(12)24}=24`

Answer 2

The correct answer option is A) 24.

Explanation:

We are given the following log expression and we are to simplify it:

`1 2 ^ { log _ { 1 2 } } ^ { 2 4 }`

Here, we are going to apply the rule for solving a log problem:

`a^{log_a^((b))`
`= b`

So if
`1 2 ^ { log _ { 1 2 } } ^ { 2 4 }`, then it would be equal to 24.