What is log_{10}((2x-8)/3) ?

The solution to log_{10}((2x-8)/3) is log_{10}(2x-8)-log_{10}(3)

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simplify log_{10}((2x-8)/3)

simplify

lo g_{10} (\frac{2 x - 8}{3})

lo g_{10} (2 x - 8) - lo g_{10} (3)

Solution steps

lo g_{10} (\frac{2 x - 8}{3})

Apply log rule:

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

lo g_{10} (\frac{2 x - 8}{3}) = lo g_{10} (2 x - 8) - lo g_{10} (3)

= lo g_{10} (2 x - 8) - lo g_{10} (3)

lo g_{10} (5 x^{5})

lo g_{c} (x^{4} y^{4} z)

ln (\frac{6}{11})

lo g_{2} (\frac{x ^{5} 4 ^{x}}{2 ^{x^{4}}})

lo g_{10} (a) - lo g_{10} (b) + lo g_{10} (c)

What is log_{10}((2x-8)/3) ?
The solution to log_{10}((2x-8)/3) is log_{10}(2x-8)-log_{10}(3)