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Popular >

simplify log_{1/5}(125)

Solution

simplify

lo g_{\frac{1}{5}} (125)

Solution

- 3

Solution steps

lo g_{\frac{1}{5}} (125)

Apply log rule:

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

lo g_{\frac{1}{5}} (125) = - lo g_{5} (125)

= - lo g_{5} (125)

Factor the number:

125 = 5^{3}

= - lo g_{5} (5^{3})

Apply log rule:

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

lo g_{5} (5^{3}) = 3

= - 3

Popular Examples

x^{2} = - 24

simplify (6^2u^3v^{-3})/(12u^{-2)v}simplify

\frac{6 ^{2} u ^{3} v ^{- 3}}{12 u ^{- 2} v}

\frac{1}{4} (12) + 1

-2(-x+5)+6(3x+1)=-3(2x-5)-4(1+4x)-8

- 2 (- x + 5) + 6 (3 x + 1) = - 3 (2 x - 5) - 4 (1 + 4 x) - 8

3 x^{2} + 5 = 11 x

Frequently Asked Questions (FAQ)

What is log_{1/5}(125) ?
The solution to log_{1/5}(125) is -3