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Popular >

simplify log_{121}(11)

Solution

simplify

lo g_{121} (11)

Solution

\frac{1}{2}

+1

Decimal Notation

0.5

Solution steps

lo g_{121} (11)

Factor the number:

121 = 1 1^{2}

= lo g_{1 1^{2}} (11)

Apply log rule:

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

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

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

Apply log rule:

lo g_{a} (a) = 1

lo g_{11} (11) = 1

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

Multiply the numbers:

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

= \frac{1}{2}

Popular Examples

simplify sqrt(45)+sqrt(125)simplify

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- y^{3} + y

3/4 (8x-12)=5x-9

\frac{3}{4} (8 x - 12) = 5 x - 9

simplify (sqrt(3)+1)/(sqrt(3)-1)simplify

\frac{3 + 1}{3 - 1}

1.5 d + 6 \leq 20

Frequently Asked Questions (FAQ)

What is log_{121}(11) ?
The solution to log_{121}(11) is 1/2