What is log_{10}(10)-log_{10}(5) ?

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

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simplify log_{10}(10)-log_{10}(5)

simplify

lo g_{10} (10) - lo g_{10} (5)

lo g_{10} (2)

Decimal Notation

0.30102 \dots

Solution steps

lo g_{10} (10) - lo g_{10} (5)

Apply log rule:

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

lo g_{10} (10) - lo g_{10} (5) = lo g_{10} (\frac{10}{5})

= lo g_{10} (\frac{10}{5})

Divide the numbers:

\frac{10}{5} = 2

= lo g_{10} (2)

- 5 i (- 2 - i)

- (2 a + 3 b - 4) + (a - 2 b + 5) - (4 a - 7 b - 6)

\frac{x ^{3} - 9 x}{x ^{2} + 10 x + 21} \cdot \frac{x ^{2} + 7 x}{x ^{2} + 5 x - 24}

(- 2 x + 2)^{2}

(2 x - 3) (x + 7)

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