What is log_{10}(5x+1)-log_{10}(x) ?

The solution to log_{10}(5x+1)-log_{10}(x) is log_{10}((5x+1)/x)

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simplify log_{10}(5x+1)-log_{10}(x)

simplify

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

lo g_{10} (\frac{5 x + 1}{x})

Solution steps

lo g_{10} (5 x + 1) - 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 + 1) - lo g_{10} (x) = lo g_{10} (\frac{5 x + 1}{x})

= lo g_{10} (\frac{5 x + 1}{x})

lo g_{8} (\frac{f}{64})

2 ln (x) + ln (y)

lo g_{b} (\frac{m}{n})

ln (x) - ln (y) + ln (z)

lo g_{4} (\frac{64}{x + 9})

What is log_{10}(5x+1)-log_{10}(x) ?
The solution to log_{10}(5x+1)-log_{10}(x) is log_{10}((5x+1)/x)