What is log_{10}(y)-15log_{10}(z) ?

The solution to log_{10}(y)-15log_{10}(z) is log_{10}(y/(z^{15)})

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simplify log_{10}(y)-15log_{10}(z)

simplify

lo g_{10} (y) - 15 lo g_{10} (z)

lo g_{10} (\frac{y}{z ^{15}})

Solution steps

lo g_{10} (y) - 15 lo g_{10} (z)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

15 lo g_{10} (z) = lo g_{10} (z^{15})

= lo g_{10} (y) - lo g_{10} (z^{15})

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

lo g_{10} (y) - lo g_{10} (z^{15}) = lo g_{10} (\frac{y}{z ^{15}})

= lo g_{10} (\frac{y}{z ^{15}})

6 lo g_{2} (x) + 12 lo g_{2} (y)

ln (10 t)

ln (2 ln (x))

lo g_{10} (R^{5} S^{4})

\frac{lo g _{4} ( t - 4 ) + lo g _{4} ( 2 t ^{2} - 7 t - 4 )}{2}

What is log_{10}(y)-15log_{10}(z) ?
The solution to log_{10}(y)-15log_{10}(z) is log_{10}(y/(z^{15)})