What is log_{10}(5)-log_{10}(2.5) ?

The solution to log_{10}(5)-log_{10}(2.5) is log_{10}(2)

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simplify log_{10}(5)-log_{10}(2.5)

simplify

lo g_{10} (5) - lo g_{10} (2.5)

lo g_{10} (2)

Decimal Notation

0.30102 \dots

Solution steps

lo g_{10} (5) - lo g_{10} (2.5)

Apply log rule:

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

lo g_{10} (5) - lo g_{10} (2.5) = lo g_{10} (\frac{5}{2.5})

= lo g_{10} (\frac{5}{2.5})

Divide the numbers:

\frac{5}{2.5} = 2

= lo g_{10} (2)

\frac{7}{2} lo g_{15} (3)

2 ln (x + 5) - ln (x + 2)

ln (\frac{x - 1}{2})

ln (\frac{2}{0.000000216})

- ln (\frac{13}{15})

What is log_{10}(5)-log_{10}(2.5) ?
The solution to log_{10}(5)-log_{10}(2.5) is log_{10}(2)