What is log_{10}(5x+2)-log_{10}(x) ?

The solution to log_{10}(5x+2)-log_{10}(x) is log_{10}((5x+2)/x)

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simplify log_{10}(5x+2)-log_{10}(x)

simplify

lo g_{10} (5 x + 2) - lo g_{10} (x)

lo g_{10} (\frac{5 x + 2}{x})

Solution steps

lo g_{10} (5 x + 2) - lo g_{10} (x)

Apply log rule:

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

lo g_{10} (5 x + 2) - lo g_{10} (x) = lo g_{10} (\frac{5 x + 2}{x})

= lo g_{10} (\frac{5 x + 2}{x})

4 lo g_{10} (5) + 1 lo g_{10} (x)

\frac{1}{7} lo g_{3} (5)

lo g_{8} (\frac{w ^{2}}{v})

What is log_{10}(5x+2)-log_{10}(x) ?
The solution to log_{10}(5x+2)-log_{10}(x) is log_{10}((5x+2)/x)