What is log_{10}(25)+log_{10}(4) ?

The solution to log_{10}(25)+log_{10}(4) is 2

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simplify log_{10}(25)+log_{10}(4)

simplify

lo g_{10} (25) + lo g_{10} (4)

2

Solution steps

lo g_{10} (25) + lo g_{10} (4)

Apply log rule:

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

lo g_{10} (25) + lo g_{10} (4) = lo g_{10} (25 \cdot 4)

= lo g_{10} (25 \cdot 4)

Multiply the numbers:

25 \cdot 4 = 100

= lo g_{10} (100)

Factor the number:

100 = 1 0^{2}

= lo g_{10} (1 0^{2})

Apply log rule:

lo g_{a} (a^{b}) = b

= 2

\frac{2 - 1}{2 + 1} + \frac{4}{2}

\frac{x ^{4}}{x ^{4}}

\frac{- 2}{- 10}

\frac{d + 5}{3} = \frac{d - 1}{9}

1 - \frac{1}{5} \times \frac{1}{5} \times \frac{1}{5}

What is log_{10}(25)+log_{10}(4) ?
The solution to log_{10}(25)+log_{10}(4) is 2