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Simplify the expression.

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


A.) 24

B.) 288

C.) 3456

D.) 12

User Pranag
by
8.0k points

2 Answers

3 votes


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

User GThamizh
by
8.5k points
5 votes

Answer:

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.

User Hendra Dedi
by
8.8k points
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