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

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

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

simplify

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

2

Solution steps

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

Apply log rule:

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

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

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

Multiply the numbers:

4 \cdot 25 = 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{19}{4}

4 \div \frac{1}{3}

\frac{a}{a - 6} + \frac{6}{6 - a}

\frac{1}{4} \times 2

(1 - 2 x)^{3}

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