What is log_{7}((w^2)/v) ?

The solution to log_{7}((w^2)/v) is 2log_{7}(w)-log_{7}(v)

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simplify log_{7}((w^2)/v)

simplify

lo g_{7} (\frac{w ^{2}}{v})

2 lo g_{7} (w) - lo g_{7} (v)

Solution steps

lo g_{7} (\frac{w ^{2}}{v})

Apply log rule:

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

lo g_{7} (\frac{w ^{2}}{v}) = lo g_{7} (w^{2}) - lo g_{7} (v)

= lo g_{7} (w^{2}) - lo g_{7} (v)

Simplify

lo g_{7} (w^{2}) : 2 lo g_{7} (w)

= 2 lo g_{7} (w) - lo g_{7} (v)

lo g_{2} (3 x y)

lo g_{10} (\frac{x ^{2}}{x})

ln (x) - ln (5 x)

ln (\frac{θ ^{2} ( 3 - 2 θ )}{36})

What is log_{7}((w^2)/v) ?
The solution to log_{7}((w^2)/v) is 2log_{7}(w)-log_{7}(v)