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Popular >

simplify log_{5}(1/(sqrt(125)))

Solution

simplify

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

Solution

- \frac{3}{2}

+1

Decimal Notation

- 1.5

Solution steps

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

\frac{1}{125} = 5^{- \frac{3}{2}}

= lo g_{5} (5^{- \frac{3}{2}})

Apply log rule:

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

= - \frac{3}{2}

Popular Examples

1/5+[ 1/10-(3/2-6/5)+5/4 ]

\frac{1}{5} + [\frac{1}{10} - (\frac{3}{2} - \frac{6}{5}) + \frac{5}{4}]

factor 49v^2-56v+16 factor

49 v^{2} - 56 v + 16

(1.3x-0.6)^2=-12

(1.3 x - 0.6)^{2} = - 12

simplify 1/3+1/7 simplify

\frac{1}{3} + \frac{1}{7}

simplify-3(5/7)^0 simplify

- 3 (\frac{5}{7})^{0}

Frequently Asked Questions (FAQ)

What is log_{5}(1/(sqrt(125))) ?
The solution to log_{5}(1/(sqrt(125))) is -3/2