Question

Solve this2^x=3^(x+1) what are the exact and approximate solutions

Answer 1

D ON EDGE!!! (Took the quiz and got it right)

Answer 2

Take the logarithm of both sides

x =
`log_(2)`(3)x +
`log_(2)` (3)

Move expression

x-
`log_(2)`(3)x =
`log_(2)`(3)

Factor out x

x(1-
`log_(2)`(3)) =
`log_(2)`(3)

Divide

x = (
`log_(2)`(3)) / (1-
`log_(2)`(3))

x≈ -2.70951