What is log_{10}((7x)/(13)) ?

The solution to log_{10}((7x)/(13)) is log_{10}(7)+log_{10}(x)-log_{10}(13)

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simplify log_{10}((7x)/(13))

simplify

lo g_{10} (\frac{7 x}{13})

lo g_{10} (7) + lo g_{10} (x) - lo g_{10} (13)

Solution steps

lo g_{10} (\frac{7 x}{13})

Apply log rule:

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

lo g_{10} (\frac{7 x}{13}) = lo g_{10} (7 x) - lo g_{10} (13)

= lo g_{10} (7 x) - lo g_{10} (13)

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} (13)

\frac{2 ln ( 3 ) + 2 ln ( 5 )}{4}

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lo g_{10} (x^{\frac{1}{2}} y^{\frac{1}{3}})

- lo g_{10} (6.2 \cdot 1 0^{- 8})

ln (a e^{b x})

What is log_{10}((7x)/(13)) ?
The solution to log_{10}((7x)/(13)) is log_{10}(7)+log_{10}(x)-log_{10}(13)