What is log_{10}(10)-log_{10}(2) ?

The solution to log_{10}(10)-log_{10}(2) is log_{10}(5)

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simplify log_{10}(10)-log_{10}(2)

simplify

lo g_{10} (10) - lo g_{10} (2)

lo g_{10} (5)

Decimal Notation

0.69897 \dots

Solution steps

lo g_{10} (10) - lo g_{10} (2)

Apply log rule:

lo g_{a} (x) - lo g_{a} (y) = lo g_{a} (\frac{x}{y})

lo g_{10} (10) - lo g_{10} (2) = lo g_{10} (\frac{10}{2})

= lo g_{10} (\frac{10}{2})

Divide the numbers:

\frac{10}{2} = 5

= lo g_{10} (5)

- x \cdot 2 x

2 \frac{3}{8}

lo g_{10} (\frac{1}{7})

\frac{10 y ^{2} + 15 y}{35 y ^{2} - 5 y}

\frac{2}{7} + \frac{1}{3}

What is log_{10}(10)-log_{10}(2) ?
The solution to log_{10}(10)-log_{10}(2) is log_{10}(5)