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Popular >

simplify log_{a}(8)

Solution

simplify

lo g_{a} (8)

Solution

3 lo g_{a} (2)

Solution steps

lo g_{a} (8)

Factor the number:

8 = 2^{3}

= lo g_{a} (2^{3})

Apply log rule:

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

lo g_{a} (2^{3}) = 3 lo g_{a} (2)

= 3 lo g_{a} (2)

Popular Examples

- 1 \frac{1}{5}

simplify log_{2}(0.02)simplify

lo g_{2} (0.02)

factor x^3+3x^2-18x-40 factor

x^{3} + 3 x^{2} - 18 x - 40

\frac{4}{7} \div \frac{1}{4}

simplify 2/(x+4)-(4x-x^2)/(x^2-16)simplify

\frac{2}{x + 4} - \frac{4 x - x ^{2}}{x ^{2} - 16}

Frequently Asked Questions (FAQ)

What is log_{a}(8) ?
The solution to log_{a}(8) is 3log_{a}(2)