What is log_{10}(18)-log_{10}(9) ?

The solution to log_{10}(18)-log_{10}(9) is log_{10}(2)

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simplify log_{10}(18)-log_{10}(9)

simplify

lo g_{10} (18) - lo g_{10} (9)

lo g_{10} (2)

Decimal Notation

0.30102 \dots

Solution steps

lo g_{10} (18) - lo g_{10} (9)

Apply log rule:

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

lo g_{10} (18) - lo g_{10} (9) = lo g_{10} (\frac{18}{9})

= lo g_{10} (\frac{18}{9})

Divide the numbers:

\frac{18}{9} = 2

= lo g_{10} (2)

ln (2 e^{8})

lo g_{2} (2 x) - lo g_{4} (x + 2)

lo g_{5} (\frac{125}{x + 5})

What is log_{10}(18)-log_{10}(9) ?
The solution to log_{10}(18)-log_{10}(9) is log_{10}(2)