What is log_{10}(5)+log_{10}(4) ?

The solution to log_{10}(5)+log_{10}(4) is log_{10}(20)

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simplify log_{10}(5)+log_{10}(4)

simplify

lo g_{10} (5) + lo g_{10} (4)

lo g_{10} (20)

Decimal Notation

1.30102 \dots

Solution steps

lo g_{10} (5) + lo g_{10} (4)

Apply log rule:

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

lo g_{10} (5) + lo g_{10} (4) = lo g_{10} (5 \cdot 4)

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

Multiply the numbers:

5 \cdot 4 = 20

= lo g_{10} (20)

2 lo g_{10} (x) - 3 lo g_{10} (y)

lo g_{10} (\frac{y ^{7}}{x z ^{3}})

3 ln (x) + 5 ln (y) - 6 ln (z)

lo g_{3} (4) + 2 lo g_{3} (5)

6 lo g_{10} (x) + lo g_{10} (y) - lo g_{10} (z)

What is log_{10}(5)+log_{10}(4) ?
The solution to log_{10}(5)+log_{10}(4) is log_{10}(20)