5 to the x power times 12 to the x power equals 17 to the x power what is x?

Answer 1

5x 12x = 17x

x log(5) + x log(12) = x log(17)

x [ log(5) + log(12) ] = x log(17)

x log(60) = x log(17)

x = 0

This actually checks. Since anything to the zero power is ' 1 ',

50 120 = 1 times 1, or 1

and 170 = 1