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Popular >

simplify log_{1/2}(256)

Solution

simplify

lo g_{\frac{1}{2}} (256)

Solution

- 8

Solution steps

lo g_{\frac{1}{2}} (256)

Apply log rule:

lo g_{\frac{1}{a}} (x) = - lo g_{a} (x)

lo g_{\frac{1}{2}} (256) = - lo g_{2} (256)

= - lo g_{2} (256)

Factor the number:

256 = 2^{8}

= - lo g_{2} (2^{8})

Apply log rule:

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

lo g_{2} (2^{8}) = 8

= - 8

Popular Examples

\frac{512}{3}

simplify (4x+8)/(x^2-25)*(x-5)/(5x+10)simplify

\frac{4 x + 8}{x ^{2} - 25} \cdot \frac{x - 5}{5 x + 10}

simplify-8+(-5)simplify

- 8 + (- 5)

simplify-8+(-2)simplify

- 8 + (- 2)

simplify (-14+18i)/(8-i)simplify

\frac{- 14 + 18 i}{8 - i}

Frequently Asked Questions (FAQ)

What is log_{1/2}(256) ?
The solution to log_{1/2}(256) is -8