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Popular >

simplify log_{5}(0.4)

Solution

simplify

lo g_{5} (0.4)

Solution

lo g_{5} (2) - 1

+1

Decimal Notation

- 0.56932 \dots

Solution steps

lo g_{5} (0.4)

0.4 = \frac{4}{10}

= lo g_{5} (\frac{4}{10})

Cancel

\frac{4}{10} : \frac{2}{5}

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

Apply log rule:

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

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

= lo g_{5} (2) - lo g_{5} (5)

lo g_{5} (5) = 1

= lo g_{5} (2) - 1

Popular Examples

simplify (-14)/(-8)simplify

\frac{- 14}{- 8}

simplify 4\times (-6)simplify

4 \times (- 6)

simplify 25\times 9 simplify

25 \times 9

simplify x\times x^{-1}simplify

x \times x^{- 1}

\frac{125}{2}

Frequently Asked Questions (FAQ)

What is log_{5}(0.4) ?
The solution to log_{5}(0.4) is log_{5}(2)-1