What is log_{10}(4x+3)-log_{10}(x) ?

The solution to log_{10}(4x+3)-log_{10}(x) is log_{10}((4x+3)/x)

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simplify log_{10}(4x+3)-log_{10}(x)

simplify

lo g_{10} (4 x + 3) - lo g_{10} (x)

lo g_{10} (\frac{4 x + 3}{x})

Solution steps

lo g_{10} (4 x + 3) - lo g_{10} (x)

Apply log rule:

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

lo g_{10} (4 x + 3) - lo g_{10} (x) = lo g_{10} (\frac{4 x + 3}{x})

= lo g_{10} (\frac{4 x + 3}{x})

lo g_{2} (x z^{3})

lo g_{\frac{1}{2}} (16 z (x^{3} - 27))

ln (\frac{e ^{x} + e ^{- x}}{2})

ln (z) - ln (a + 15) + ln (z - 5)

lo g_{10} (3 y (5 y + 8))

What is log_{10}(4x+3)-log_{10}(x) ?
The solution to log_{10}(4x+3)-log_{10}(x) is log_{10}((4x+3)/x)