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Popular >

simplify log_{5}(0.6)

Solution

simplify

lo g_{5} (0.6)

Solution

lo g_{5} (3) - 1

+1

Decimal Notation

- 0.31739 \dots

Solution steps

lo g_{5} (0.6)

0.6 = \frac{6}{10}

= lo g_{5} (\frac{6}{10})

Cancel

\frac{6}{10} : \frac{3}{5}

= lo g_{5} (\frac{3}{5})

Apply log rule:

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

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

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

lo g_{5} (5) = 1

= lo g_{5} (3) - 1

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Frequently Asked Questions (FAQ)

What is log_{5}(0.6) ?
The solution to log_{5}(0.6) is log_{5}(3)-1