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

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

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

simplify

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

lo g_{10} (20)

Solution steps

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

Apply log rule:

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

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

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

Multiply the numbers:

4 \cdot 5 = 20

= lo g_{10} (20)

\frac{1}{2} - ln (\frac{1}{2})

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

\frac{1}{3} [2 ln (x + 3) + ln (x) - ln (x^{2} - 1)]

lo g_{10} (3) + lo g_{10} (2)

lo g_{10} (12) + \frac{1}{2} lo g_{10} (7) - lo g_{10} (2)

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