What is log_{10}(2)+log_{10}(50) ?

The solution to log_{10}(2)+log_{10}(50) is 2

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simplify log_{10}(2)+log_{10}(50)

simplify

lo g_{10} (2) + lo g_{10} (50)

2

Solution steps

lo g_{10} (2) + lo g_{10} (50)

Apply log rule:

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

lo g_{10} (2) + lo g_{10} (50) = lo g_{10} (2 \cdot 50)

= lo g_{10} (2 \cdot 50)

Multiply the numbers:

2 \cdot 50 = 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{9 x ^{2} - 4}{5 x ^{2} - 3 x - 14} \cdot \frac{3 x - 6}{3 x - 2}

\frac{6}{x} - \frac{5}{x + 3}

- 1 - x

2 \div \frac{3}{5}

3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3

What is log_{10}(2)+log_{10}(50) ?
The solution to log_{10}(2)+log_{10}(50) is 2