What is log_{10}(9)+log_{10}(10)-log_{10}(5) ?

The solution to log_{10}(9)+log_{10}(10)-log_{10}(5) is log_{10}(18)

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simplify log_{10}(9)+log_{10}(10)-log_{10}(5)

simplify

lo g_{10} (9) + lo g_{10} (10) - lo g_{10} (5)

lo g_{10} (18)

Decimal Notation

1.25527 \dots

Solution steps

lo g_{10} (9) + lo g_{10} (10) - lo g_{10} (5)

Apply log rule:

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

lo g_{10} (9) + lo g_{10} (10) = lo g_{10} (9 \cdot 10)

= lo g_{10} (9 \cdot 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} (9 \cdot 10) - lo g_{10} (5) = lo g_{10} (\frac{9 \cdot 10}{5})

= lo g_{10} (\frac{9 \cdot 10}{5})

Cancel

\frac{9 \cdot 10}{5} : 18

= lo g_{10} (18)

ln (3) - ln (27)

0.5 ln (x^{2} + 1) - 4 ln (0.5) - 0.5 (ln (x + 4) + ln (x))

ln (\frac{e ^{6}}{3})

ln (\frac{- 4.362}{- 4.732})

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

What is log_{10}(9)+log_{10}(10)-log_{10}(5) ?
The solution to log_{10}(9)+log_{10}(10)-log_{10}(5) is log_{10}(18)