What is log_{10}((10z)/5) ?

The solution to log_{10}((10z)/5) is log_{10}(2)+log_{10}(z)

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simplify log_{10}((10z)/5)

simplify

lo g_{10} (\frac{10 z}{5})

lo g_{10} (2) + lo g_{10} (z)

Solution steps

lo g_{10} (\frac{10 z}{5})

Simplify

\frac{10 z}{5} : 2 z

= lo g_{10} (2 z)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{10} (2 z) = lo g_{10} (2) + lo g_{10} (z)

= lo g_{10} (2) + lo g_{10} (z)

2 ln (5) - ln (7) + 3 ln (14) - 2 ln (10)

lo g_{a} (x) - 2 lo g_{a} (y)

\frac{48125}{( 2 π ( 98 - 94 ) )} ln (\frac{70}{20})

2 lo g_{10} (u) - lo g_{10} (v)

ln (5) - ln (7)

What is log_{10}((10z)/5) ?
The solution to log_{10}((10z)/5) is log_{10}(2)+log_{10}(z)