What is log_{10}(7.2)-log_{10}(6.7) ?

The solution to log_{10}(7.2)-log_{10}(6.7) is log_{10}(72/67)

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simplify log_{10}(7.2)-log_{10}(6.7)

simplify

lo g_{10} (7.2) - lo g_{10} (6.7)

lo g_{10} (\frac{72}{67})

Decimal Notation

0.03125 \dots

Solution steps

lo g_{10} (7.2) - lo g_{10} (6.7)

Apply log rule:

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

lo g_{10} (7.2) - lo g_{10} (6.7) = lo g_{10} (\frac{7.2}{6.7})

= lo g_{10} (\frac{7.2}{6.7})

\frac{7.2}{6.7} = \frac{72}{67}

= lo g_{10} (\frac{72}{67})

ln (12) - ln (5)

2 ln (5 y) + \frac{1}{x}

- \frac{3}{9} lo g_{2} (\frac{3}{9}) - \frac{6}{9} lo g_{2} (\frac{6}{9})

10 ln (4 x) - ln^{2} (4 x)

ln (100 x)

What is log_{10}(7.2)-log_{10}(6.7) ?
The solution to log_{10}(7.2)-log_{10}(6.7) is log_{10}(72/67)