What is log_{10}(81)-log_{10}(64/36) ?

The solution to log_{10}(81)-log_{10}(64/36) is log_{10}(729/16)

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simplify log_{10}(81)-log_{10}(64/36)

simplify

lo g_{10} (81) - lo g_{10} (\frac{64}{36})

lo g_{10} (\frac{729}{16})

Decimal

1.65860 \dots

Solution steps

lo g_{10} (81) - lo g_{10} (\frac{64}{36})

Apply log rule:

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

lo g_{10} (81) - lo g_{10} (\frac{64}{36}) = lo g_{10} (\frac{81}{\frac{64}{36}})

= lo g_{10} (\frac{81}{\frac{64}{36}})

\frac{81}{\frac{64}{36}} = \frac{729}{16}

= lo g_{10} (\frac{729}{16})

5 ln (a) + \frac{ln ( b )}{3} - 3 ln (c)

ln (\frac{1}{72})

lo g_{10} (x) - \frac{1}{2} lo g_{10} (y) + 3 lo g_{10} (z)

lo g_{10} (\frac{x}{y})

ln (a) - ln (d) - ln (c)

What is log_{10}(81)-log_{10}(64/36) ?
The solution to log_{10}(81)-log_{10}(64/36) is log_{10}(729/16)