What is log_{10}((7z)/(10)) ?

The solution to log_{10}((7z)/(10)) is log_{10}(7)+log_{10}(z)-1

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simplify log_{10}((7z)/(10))

simplify

lo g_{10} (\frac{7 z}{10})

lo g_{10} (7) + lo g_{10} (z) - 1

Solution steps

lo g_{10} (\frac{7 z}{10})

Apply log rule:

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

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

= lo g_{10} (7 z) - lo g_{10} (10)

lo g_{10} (7 z) = lo g_{10} (7) + lo g_{10} (z)

lo g_{10} (10) = 1

= lo g_{10} (7) + lo g_{10} (z) - 1

ln (\frac{7 y}{5 z})

lo g_{4} (\frac{4}{x})

lo g_{a} (4 s^{2})

- 4 ln (- 2) - \frac{8}{3} - ln (- 3) - \frac{3}{2}

- 2.5 lo g_{10} (7.2346 \cdot 1 0^{10}) + 4.51

What is log_{10}((7z)/(10)) ?
The solution to log_{10}((7z)/(10)) is log_{10}(7)+log_{10}(z)-1