Question

If 2 ^ x+1 = 3^x-1 then x=?

Answer 1

Answer:

x=1 and -1

Step-by-step explanation:

$= > {2}^{x + 1} = {3}^{(x - 1)} \\ \\ = > {2}^{(x + 1)} - {3}^{(x - 1)} = 0 \\ = > this \: means \: that \: this \: is \: (1 - 1) \\ and \: for \: that \: 2and3 \: needs \: to \: be \: cancelled$

so, for making them 1 and -1 the power need to be zero.

so,

x+1=0

=> x= -1

and

=> x-1=0

=> x=1

ans.

Answer 2

Answer:

Step-by-step explanation:

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

Applying log on both sides

(X+1) log2 = (x-1) log3

Xlog2 +log 2 = xlog3 - log3

Xlog3 - xlog2 = log3+log2

Xlog 3/2 = log 6

X = log6 / log (3/2)