What is log_{10}(5)-log_{10}(4) ?

The solution to log_{10}(5)-log_{10}(4) is log_{10}(5/4)

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simplify log_{10}(5)-log_{10}(4)

simplify

lo g_{10} (5) - lo g_{10} (4)

lo g_{10} (\frac{5}{4})

Decimal Notation

0.09691 \dots

Solution steps

lo g_{10} (5) - lo g_{10} (4)

Apply log rule:

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

lo g_{10} (5) - lo g_{10} (4) = lo g_{10} (\frac{5}{4})

= lo g_{10} (\frac{5}{4})

lo g_{3} (7) + lo g_{3} (4)

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

\frac{1}{3} [2 ln (x + 5) - ln (x) - ln (x^{2} - 4)]

lo g_{3} (7) + lo g_{3} (5)

\frac{1}{2} lo g_{6} (9) + lo g_{6} (5)

What is log_{10}(5)-log_{10}(4) ?
The solution to log_{10}(5)-log_{10}(4) is log_{10}(5/4)