What is log_{10}(125)-log_{10}(45/27) ?

The solution to log_{10}(125)-log_{10}(45/27) is log_{10}(75)

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simplify log_{10}(125)-log_{10}(45/27)

simplify

lo g_{10} (125) - lo g_{10} (\frac{45}{27})

lo g_{10} (75)

Decimal Notation

1.87506 \dots

Solution steps

lo g_{10} (125) - lo g_{10} (\frac{45}{27})

Apply log rule:

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

lo g_{10} (125) - lo g_{10} (\frac{45}{27}) = lo g_{10} (\frac{125}{\frac{45}{27}})

= lo g_{10} (\frac{125}{\frac{45}{27}})

\frac{125}{\frac{45}{27}} = 75

= lo g_{10} (75)

lo g_{10} (\frac{x}{10000 y ^{4}})

ln (4) + ln (7) - 2 ln (3)

5 lo g_{b} (x) + 4 lo g_{b} (y) - \frac{1}{3} lo g_{b} (z)

lo g_{3} (x - 1) + lo g_{3} (2 x + 3)

\frac{ln ( \frac{1024}{5} )}{2 ln ( 2 )}

What is log_{10}(125)-log_{10}(45/27) ?
The solution to log_{10}(125)-log_{10}(45/27) is log_{10}(75)