Question

Solve this equation 5^ (x-2) = 3^(3x+2)
I did on the calculator and got -3.211636. Is there a more sensible answer?

Answer 1

im thinking if i see it right:

(x-2) log5(5) = (3x+2) log5(3)

(x-2)/log5(3) = 3x+2

x/log5(3) - 2/log5(3) = 3x+2

x/log5(3) - 3x = 2 + 2/log5(3)

x(1/log5(3) - 3) = 2 + 2/log5(3)

x = (2 + 2/log5(3))/(1/log5(3) - 3) maybe? lol

Answer 2

-3.2116....

Answer 3

http://www.wolframalpha.com/input/?i=0+%3D+3^%283x%2B2%29+-++5^%28x-2%29+

Answer 4

the eff