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Popular >

simplify log_{1/4}(256)

Solution

simplify

lo g_{\frac{1}{4}} (256)

Solution

- 4

Solution steps

lo g_{\frac{1}{4}} (256)

Apply log rule:

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

lo g_{\frac{1}{4}} (256) = - lo g_{4} (256)

= - lo g_{4} (256)

Factor the number:

256 = 4^{4}

= - lo g_{4} (4^{4})

Apply log rule:

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

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

= - 4

Popular Examples

simplify (1/(x+h+3)-1/(x+3))/h simplify

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

simplify sqrt(40)*sqrt(10)simplify

40 \cdot 10

factor 80x^4-5y^4 factor

80 x^{4} - 5 y^{4}

9 x = 27

a=20.4-(-1.68571)*8.4

a = 20.4 - (- 1.68571) \cdot 8.4

Frequently Asked Questions (FAQ)

What is log_{1/4}(256) ?
The solution to log_{1/4}(256) is -4