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Popular >

simplify log_{144}(12)

Solution

simplify

lo g_{144} (12)

Solution

\frac{1}{2}

+1

Solution steps

lo g_{144} (12)

Factor the number:

144 = 1 2^{2}

= lo g_{1 2^{2}} (12)

Apply log rule:

lo g_{a^{b}} (x) = \frac{1}{b} lo g_{a} (x), a > 0

lo g_{1 2^{2}} (12) = \frac{1}{2} lo g_{12} (12)

= \frac{1}{2} lo g_{12} (12)

Apply log rule:

lo g_{a} (a) = 1

lo g_{12} (12) = 1

= \frac{1}{2} \cdot 1

Multiply the numbers:

\frac{1}{2} \cdot 1 = \frac{1}{2}

= \frac{1}{2}

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Frequently Asked Questions (FAQ)

What is log_{144}(12) ?
The solution to log_{144}(12) is 1/2