Question

2 power x + 1 is equals to 3 power x- 1 find x value

Answer 1

2^(x +1) = 3^(x - 1)

take the log of both sides:

log[ 2^(x + 1) ] = log [ 3^(x - 1) ]

log(a^b) = b * log(a)

(x + 1) * log(2) = (x - 1) * log(3)

x * log(2) + 1 * log(2) = x * log(3) - 1 * log(3)

x * log(2) - x * log(3) = -1 * log(3) - 1 * log(2)

x * [ log(2) - log(3) ] = -log(3) - log(2)

divide both sides by [ log(2) - log(3) ]:

x = [ -log(3) - log(2) ] / [ log(2) - log(3) ] = 4.52
Hope this helps u...