What is log_{10}(5x+8)-log_{10}(x) ?

The solution to log_{10}(5x+8)-log_{10}(x) is log_{10}((5x+8)/x)

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simplify log_{10}(5x+8)-log_{10}(x)

simplify

lo g_{10} (5 x + 8) - lo g_{10} (x)

lo g_{10} (\frac{5 x + 8}{x})

Solution steps

lo g_{10} (5 x + 8) - 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 + 8) - lo g_{10} (x) = lo g_{10} (\frac{5 x + 8}{x})

= lo g_{10} (\frac{5 x + 8}{x})

lo g_{4} (\frac{z}{16})

lo g_{8} (64 x^{5})

- lo g_{10} (1.7 \cdot 1 0^{- 5})

- ln (\frac{5}{6})

ln (y \frac{y}{4 - y})

What is log_{10}(5x+8)-log_{10}(x) ?
The solution to log_{10}(5x+8)-log_{10}(x) is log_{10}((5x+8)/x)