What is log_{10}((2x)/7) ?

The solution to log_{10}((2x)/7) is log_{10}(2)+log_{10}(x)-log_{10}(7)

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simplify log_{10}((2x)/7)

simplify

lo g_{10} (\frac{2 x}{7})

lo g_{10} (2) + lo g_{10} (x) - lo g_{10} (7)

Solution steps

lo g_{10} (\frac{2 x}{7})

Apply log rule:

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

lo g_{10} (\frac{2 x}{7}) = lo g_{10} (2 x) - lo g_{10} (7)

= lo g_{10} (2 x) - lo g_{10} (7)

Simplify

lo g_{10} (2 x) : lo g_{10} (2) + lo g_{10} (x)

= lo g_{10} (2) + lo g_{10} (x) - lo g_{10} (7)

3 lo g_{10} (x) + 6 lo g_{10} (x + 8)

(1) ln (\frac{1100}{1400}) - 0.287 ln (\frac{5}{20})

ln (\frac{a ^{x} + b ^{x} + c ^{x}}{3})

ln (\frac{4 + x ^{2}}{x})

lo g_{10} (2 w^{5} - 7 w) + lo g_{10} (w^{- 1})

What is log_{10}((2x)/7) ?
The solution to log_{10}((2x)/7) is log_{10}(2)+log_{10}(x)-log_{10}(7)