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Popular >

simplify 1/4 log_{11}(16)

Solution

simplify

\frac{1}{4} lo g_{11} (16)

Solution

lo g_{11} (2)

+1

Decimal Notation

0.28906 \dots

Solution steps

\frac{1}{4} lo g_{11} (16)

Factor the number:

16 = 2^{4}

= \frac{1}{4} lo g_{11} (2^{4})

Apply log rule:

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

lo g_{11} (2^{4}) = 4 lo g_{11} (2)

= \frac{1}{4} \cdot 4 lo g_{11} (2)

\frac{1}{4} \cdot 4 lo g_{11} (2) = lo g_{11} (2)

= lo g_{11} (2)

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Frequently Asked Questions (FAQ)

What is 1/4 log_{11}(16) ?
The solution to 1/4 log_{11}(16) is log_{11}(2)