-3log5x = -6 would equal x = 25.
First, use the Power Rule: (log b x [tex] ^{c} [/tex] = c log b x). Your problem should look like -log5 x³ = -6.
Second, multiply both sides by -1. Your problem should look like log5 x³ = 6. We removed the negative signs.
Third, use the Definition of Common Logarithms. ( b[tex] ^{a} [/tex]= x if and only if logb(x) = a). Your problem should look like x³ = 5[tex] ^{6} [/tex].
Fourth, simplify 5[tex] ^{6} [/tex] to 15625. Your problem should look like x³ = 15625.
Fifth, take the cube root of both sides. Your problem should look like x = 3√15625.
Sixth, calculate your problem to get x = 25 which is the answer.
