What is log_{10}((7x)/5) ?

The solution to log_{10}((7x)/5) is log_{10}(7)+log_{10}(x)-log_{10}(5)

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simplify log_{10}((7x)/5)

simplify

lo g_{10} (\frac{7 x}{5})

lo g_{10} (7) + lo g_{10} (x) - lo g_{10} (5)

Solution steps

lo g_{10} (\frac{7 x}{5})

Apply log rule:

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

lo g_{10} (\frac{7 x}{5}) = lo g_{10} (7 x) - lo g_{10} (5)

= lo g_{10} (7 x) - lo g_{10} (5)

Simplify

lo g_{10} (7 x) : lo g_{10} (7) + lo g_{10} (x)

= lo g_{10} (7) + lo g_{10} (x) - lo g_{10} (5)

lo g_{2} (\frac{a}{b ^{2}})

lo g_{4} (5 x)

lo g_{5} (4) + \frac{1}{3} lo g_{5} (x)

ln (\frac{6}{5})

\frac{15}{2} ln (\frac{2}{5})

What is log_{10}((7x)/5) ?
The solution to log_{10}((7x)/5) is log_{10}(7)+log_{10}(x)-log_{10}(5)