Find the value of ' $ a $ ' if $ \frac{12^{a}}{144}=12 $.

Given:

\( \frac{12^{a}}{144}=12 \).

To do:

We have to find the value of $a$.

Solution:

\( \frac{12^{a}}{144}=12 \)

$12^a=12\times144$

$12^a=12\times12^2$

$12^a=12^{(2+1)}$

$12^a=12^3$ 

Comparing the powers on both sides, we get,

$a=3$

The value of $a$ is $3$.

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Updated on: 10-Oct-2022

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