What is 6log_{2}(u)-24log_{2}(v) ?

The solution to 6log_{2}(u)-24log_{2}(v) is log_{2}((u^6)/(v^{24)})

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simplify 6log_{2}(u)-24log_{2}(v)

simplify

6 lo g_{2} (u) - 24 lo g_{2} (v)

lo g_{2} (\frac{u ^{6}}{v ^{24}})

Solution steps

6 lo g_{2} (u) - 24 lo g_{2} (v)

Apply log rule:

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

6 lo g_{2} (u) = lo g_{2} (u^{6})

= lo g_{2} (u^{6}) - 24 lo g_{2} (v)

Apply log rule:

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

24 lo g_{2} (v) = lo g_{2} (v^{24})

= lo g_{2} (u^{6}) - lo g_{2} (v^{24})

Apply log rule:

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

lo g_{2} (u^{6}) - lo g_{2} (v^{24}) = lo g_{2} (\frac{u ^{6}}{v ^{24}})

= lo g_{2} (\frac{u ^{6}}{v ^{24}})

10 ln (\frac{47}{7})

ln (\frac{1}{3} \cdot \frac{7}{13})

\frac{( ln ( 85.2 ) - ln ( 115 ) )}{( 2 )}

ln (\frac{1 0 ^{9}}{( 1.5 )})

What is 6log_{2}(u)-24log_{2}(v) ?
The solution to 6log_{2}(u)-24log_{2}(v) is log_{2}((u^6)/(v^{24)})