What is log_{10}(30)-log_{10}(5) ?

The solution to log_{10}(30)-log_{10}(5) is log_{10}(6)

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simplify log_{10}(30)-log_{10}(5)

simplify

lo g_{10} (30) - lo g_{10} (5)

lo g_{10} (6)

Decimal Notation

0.77815 \dots

Solution steps

lo g_{10} (30) - lo g_{10} (5)

Apply log rule:

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

lo g_{10} (30) - lo g_{10} (5) = lo g_{10} (\frac{30}{5})

= lo g_{10} (\frac{30}{5})

Divide the numbers:

\frac{30}{5} = 6

= lo g_{10} (6)

lo g_{5} (25 (x^{2} - 49))

4 ln (x) + ln (3) - ln (x)

lo g_{9} (z x \cdot y)

lo g_{4} (10000 x)

ln (\frac{x ^{6} x ^{2} + 7}{( x + 7 ) ^{2}})

What is log_{10}(30)-log_{10}(5) ?
The solution to log_{10}(30)-log_{10}(5) is log_{10}(6)