What is 7log_{a}(U)-log_{a}(V) ?

The solution to 7log_{a}(U)-log_{a}(V) is log_{a}((U^7)/V)

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simplify 7log_{a}(U)-log_{a}(V)

simplify

7 lo g_{a} (U) - lo g_{a} (V)

lo g_{a} (\frac{U ^{7}}{V})

Solution steps

7 lo g_{a} (U) - lo g_{a} (V)

Apply log rule:

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

7 lo g_{a} (U) = lo g_{a} (U^{7})

= lo g_{a} (U^{7}) - lo g_{a} (V)

Apply log rule:

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

lo g_{a} (U^{7}) - lo g_{a} (V) = lo g_{a} (\frac{U ^{7}}{V})

= lo g_{a} (\frac{U ^{7}}{V})

ln ((ln (3))^{x})

ln (3 e^{\frac{a}{2 π}})

ln (11172) + 714 \cdot ln (8797)

ln (\frac{4}{3 ^{- 2} \cdot 5})

ln (x \frac{x}{z})

What is 7log_{a}(U)-log_{a}(V) ?
The solution to 7log_{a}(U)-log_{a}(V) is log_{a}((U^7)/V)