What is log_{10}(20)+log_{10}(4) ?

The solution to log_{10}(20)+log_{10}(4) is log_{10}(80)

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simplify log_{10}(20)+log_{10}(4)

simplify

lo g_{10} (20) + lo g_{10} (4)

lo g_{10} (80)

Decimal Notation

1.90308 \dots

Solution steps

lo g_{10} (20) + lo g_{10} (4)

Apply log rule:

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

lo g_{10} (20) + lo g_{10} (4) = lo g_{10} (20 \cdot 4)

= lo g_{10} (20 \cdot 4)

Multiply the numbers:

20 \cdot 4 = 80

= lo g_{10} (80)

lo g_{2} (\frac{x + 3}{x y})

ln (4 \frac{1}{16})

5 lo g_{6} (x) - 3 lo g_{6} (y)

lo g_{10} (\frac{x}{100})

What is log_{10}(20)+log_{10}(4) ?
The solution to log_{10}(20)+log_{10}(4) is log_{10}(80)