What is log_{2}((7r^5)/(z^7)) ?

The solution to log_{2}((7r^5)/(z^7)) is log_{2}(7)+5log_{2}(r)-7log_{2}(z)

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simplify log_{2}((7r^5)/(z^7))

simplify

lo g_{2} (\frac{7 r ^{5}}{z ^{7}})

lo g_{2} (7) + 5 lo g_{2} (r) - 7 lo g_{2} (z)

Solution steps

lo g_{2} (\frac{7 r ^{5}}{z ^{7}})

Apply log rule:

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

lo g_{2} (\frac{7 r ^{5}}{z ^{7}}) = lo g_{2} (7 r^{5}) - lo g_{2} (z^{7})

= lo g_{2} (7 r^{5}) - lo g_{2} (z^{7})

lo g_{2} (7 r^{5}) = lo g_{2} (7) + 5 lo g_{2} (r)

lo g_{2} (z^{7}) = 7 lo g_{2} (z)

= lo g_{2} (7) + 5 lo g_{2} (r) - 7 lo g_{2} (z)

ln (\frac{1}{N !})

lo g_{x} (\frac{x ^{3} y}{n ^{7}})

lo g_{8} (\frac{8}{y})

ln (\frac{x ^{3}}{2})

\frac{3 ln ( 7 )}{ln ( 14 ) - ln ( 7 )}

What is log_{2}((7r^5)/(z^7)) ?
The solution to log_{2}((7r^5)/(z^7)) is log_{2}(7)+5log_{2}(r)-7log_{2}(z)