What is log_{x}(0.37)-log_{x}(0.73) ?

The solution to log_{x}(0.37)-log_{x}(0.73) is log_{x}(37/73)

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simplify log_{x}(0.37)-log_{x}(0.73)

simplify

lo g_{x} (0.37) - lo g_{x} (0.73)

lo g_{x} (\frac{37}{73})

Solution steps

lo g_{x} (0.37) - lo g_{x} (0.73)

Apply log rule:

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

lo g_{x} (0.37) - lo g_{x} (0.73) = lo g_{x} (\frac{0.37}{0.73})

= lo g_{x} (\frac{0.37}{0.73})

\frac{0.37}{0.73} = \frac{37}{73}

= lo g_{x} (\frac{37}{73})

- 3 ln (y) + ln (\frac{3 x + 3 y}{y})

ln (\frac{s + 2}{s + 3})

ln (\frac{2 e ^{5}}{1 + e ^{5}})

lo g_{10} (\frac{1}{850})

ln (\frac{88}{90})

What is log_{x}(0.37)-log_{x}(0.73) ?
The solution to log_{x}(0.37)-log_{x}(0.73) is log_{x}(37/73)