What is log_{10}(5)+log_{10}(200) ?

The solution to log_{10}(5)+log_{10}(200) is 3

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simplify log_{10}(5)+log_{10}(200)

simplify

lo g_{10} (5) + lo g_{10} (200)

3

Solution steps

lo g_{10} (5) + lo g_{10} (200)

Apply log rule:

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

lo g_{10} (5) + lo g_{10} (200) = lo g_{10} (5 \cdot 200)

= lo g_{10} (5 \cdot 200)

Multiply the numbers:

5 \cdot 200 = 1000

= lo g_{10} (1000)

Factor the number:

1000 = 1 0^{3}

= lo g_{10} (1 0^{3})

Apply log rule:

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

= 3

\frac{2}{5} \div \frac{3}{4}

\frac{2}{5} \div 2

(4 x - 3 y)^{2}

(4 + 7 a^{2})^{2}

\frac{4 x}{( 2 x - 1 )} + \frac{10}{2 ( 2 x - 1 )}

What is log_{10}(5)+log_{10}(200) ?
The solution to log_{10}(5)+log_{10}(200) is 3