What is log_{10}(5)+log_{10}(8) ?

The solution to log_{10}(5)+log_{10}(8) is log_{10}(40)

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simplify log_{10}(5)+log_{10}(8)

simplify

lo g_{10} (5) + lo g_{10} (8)

lo g_{10} (40)

Decimal Notation

1.60205 \dots

Solution steps

lo g_{10} (5) + lo g_{10} (8)

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{10} (5) + lo g_{10} (8) = lo g_{10} (5 \cdot 8)

= lo g_{10} (5 \cdot 8)

Multiply the numbers:

5 \cdot 8 = 40

= lo g_{10} (40)

\frac{1}{4} ln (y) + ln (z)

lo g_{b} (x^{5} y)

ln (\frac{x}{x ^{2} + 1})

lo g_{10} (x \cdot y \cdot z^{2})

What is log_{10}(5)+log_{10}(8) ?
The solution to log_{10}(5)+log_{10}(8) is log_{10}(40)