What is log_{10}((3x)/7) ?

The solution to log_{10}((3x)/7) is log_{10}(3)+log_{10}(x)-log_{10}(7)

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simplify log_{10}((3x)/7)

simplify

lo g_{10} (\frac{3 x}{7})

lo g_{10} (3) + lo g_{10} (x) - lo g_{10} (7)

Solution steps

lo g_{10} (\frac{3 x}{7})

Apply log rule:

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

lo g_{10} (\frac{3 x}{7}) = lo g_{10} (3 x) - lo g_{10} (7)

= lo g_{10} (3 x) - lo g_{10} (7)

Simplify

lo g_{10} (3 x) : lo g_{10} (3) + lo g_{10} (x)

= lo g_{10} (3) + lo g_{10} (x) - lo g_{10} (7)

lo g_{5} (\frac{25}{x + 7})

lo g_{a} (\frac{a B}{C ^{4}})

lo g_{10} (\frac{( 1 + x )}{( 1 - x )})

3 lo g_{10} (4) - 1 lo g_{10} (x)

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

What is log_{10}((3x)/7) ?
The solution to log_{10}((3x)/7) is log_{10}(3)+log_{10}(x)-log_{10}(7)