What is log_{5}(125)-log_{5}((sqrt(5))/5) ?

The solution to log_{5}(125)-log_{5}((sqrt(5))/5) is 7/2

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

simplify

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

\frac{7}{2}

Decimal Notation

3.5

Solution steps

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

lo g_{5} (125) = 3

lo g_{5} (\frac{5}{5}) = - \frac{1}{2}

= 3 - (- \frac{1}{2})

Apply rule:

a - (- b) = a + b

3 - (- \frac{1}{2}) = 3 + \frac{1}{2}

= 3 + \frac{1}{2}

3 + \frac{1}{2} = \frac{7}{2}

= \frac{7}{2}

8 lo g_{10} (k) + 2 lo g_{10} (x)

ln (x^{12} 7 - x)

lo g_{10} (x) + lo g_{10} (x - 15)

ln (3 y)

lo g_{2} (\frac{8}{x - 1})

What is log_{5}(125)-log_{5}((sqrt(5))/5) ?
The solution to log_{5}(125)-log_{5}((sqrt(5))/5) is 7/2