What is 5log_{7}(v)+10log_{7}(w)-(log_{7}(u))/5 ?

The solution to 5log_{7}(v)+10log_{7}(w)-(log_{7}(u))/5 is (log_{7}((v^{25}w^{50})/u))/(5)

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simplify 5log_{7}(v)+10log_{7}(w)-(log_{7}(u))/5

simplify

5 lo g_{7} (v) + 10 lo g_{7} (w) - \frac{lo g _{7} ( u )}{5}

\frac{lo g _{7} ( \frac{v ^{25} w ^{50}}{u} )}{5}

Solution steps

5 lo g_{7} (v) + 10 lo g_{7} (w) - \frac{lo g _{7} ( u )}{5}

Join

5 lo g_{7} (v) + 10 lo g_{7} (w) - \frac{lo g _{7} ( u )}{5} : \frac{25 lo g _{7} ( v ) + 50 lo g _{7} ( w ) - lo g _{7} ( u )}{5}

= \frac{25 lo g _{7} ( v ) + 50 lo g _{7} ( w ) - lo g _{7} ( u )}{5}

Simplify

25 lo g_{7} (v) + 50 lo g_{7} (w) - lo g_{7} (u) : lo g_{7} (\frac{v ^{25} w ^{50}}{u})

= \frac{lo g _{7} ( \frac{v ^{25} w ^{50}}{u} )}{5}

lo g_{a} (u^{2} v^{5})

lo g_{10} (\frac{10 x}{7})

3 ln (x) - \frac{1}{7} ln (y)

\frac{1}{2} ln (x) + 8 ln (y) - 5 ln (z)

What is 5log_{7}(v)+10log_{7}(w)-(log_{7}(u))/5 ?
The solution to 5log_{7}(v)+10log_{7}(w)-(log_{7}(u))/5 is (log_{7}((v^{25}w^{50})/u))/(5)