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Popular >

simplify log_{1/2}(1/16)

Solution

simplify

lo g_{\frac{1}{2}} (\frac{1}{16})

Solution

4

Solution steps

lo g_{\frac{1}{2}} (\frac{1}{16})

Factor the number:

\frac{1}{16} = (\frac{1}{2})^{4}

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

Apply log rule:

lo g_{a} (a^{b}) = b

= 4

Popular Examples

simplify 5^{5/4}simplify

5^{\frac{5}{4}}

simplify (81/16)^{3/4}simplify

(\frac{81}{16})^{\frac{3}{4}}

factor-7x^3+14x^2y-7xy^2 factor

- 7 x^{3} + 14 x^{2} y - 7 x y^{2}

3 y^{2} + y - 5 = 0

76-(-7+5(9-14+7)-5)-4(-3)

76 - (- 7 + 5 (9 - 14 + 7) - 5) - 4 (- 3)

Frequently Asked Questions (FAQ)

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