What is log_{10}(35.89)-log_{10}(24.33) ?

The solution to log_{10}(35.89)-log_{10}(24.33) is log_{10}(3589/2433)

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simplify log_{10}(35.89)-log_{10}(24.33)

simplify

lo g_{10} (35.89) - lo g_{10} (24.33)

lo g_{10} (\frac{3589}{2433})

Decimal Notation

0.16883 \dots

Solution steps

lo g_{10} (35.89) - lo g_{10} (24.33)

Apply log rule:

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

lo g_{10} (35.89) - lo g_{10} (24.33) = lo g_{10} (\frac{35.89}{24.33})

= lo g_{10} (\frac{35.89}{24.33})

\frac{35.89}{24.33} = \frac{3589}{2433}

= lo g_{10} (\frac{3589}{2433})

\frac{1}{2} ln (5) - \frac{1}{2} ln (4)

3 + 2 ln (2) - 2 ln (5)

ln (\frac{a + b x}{a - b x})

2 ln (x) - 3 ln (x + 1) - ln (x)

3 lo g_{a} (2) + lo g_{a} (c) - 2 lo g_{a} (d)

What is log_{10}(35.89)-log_{10}(24.33) ?
The solution to log_{10}(35.89)-log_{10}(24.33) is log_{10}(3589/2433)