What is log_{10}((6x)/(13)) ?

The solution to log_{10}((6x)/(13)) is log_{10}(6)+log_{10}(x)-log_{10}(13)

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simplify log_{10}((6x)/(13))

simplify

lo g_{10} (\frac{6 x}{13})

lo g_{10} (6) + lo g_{10} (x) - lo g_{10} (13)

Solution steps

lo g_{10} (\frac{6 x}{13})

Apply log rule:

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

lo g_{10} (\frac{6 x}{13}) = lo g_{10} (6 x) - lo g_{10} (13)

= lo g_{10} (6 x) - lo g_{10} (13)

Simplify

lo g_{10} (6 x) : lo g_{10} (6) + lo g_{10} (x)

= lo g_{10} (6) + lo g_{10} (x) - lo g_{10} (13)

- lo g_{10} (3 \cdot 1 0^{- 10})

lo g_{w} (\frac{13 x}{5})

2 ln (4) + ln (x + 1) - 3 ln (y)

- lo g_{10} (1 \times 1 0^{- 9})

lo g_{b} (\frac{p ^{3} q ^{6}}{m ^{3} b ^{9}})

What is log_{10}((6x)/(13)) ?
The solution to log_{10}((6x)/(13)) is log_{10}(6)+log_{10}(x)-log_{10}(13)