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Apply the formula: $y=x$$\to \ln\left(y\right)=\ln\left(x\right)$, where $x=4^{\left(x-1\right)}$ and $y=3^{\left(x+1\right)}$
Learn how to solve equations exponentielles problems step by step online.
$\ln\left(3\right)\left(x+1\right)=\ln\left(4\right)\left(x-1\right)$
Learn how to solve equations exponentielles problems step by step online. Solve the exponential equation 3^(x+1)=4^(x-1). Apply the formula: y=x\to \ln\left(y\right)=\ln\left(x\right), where x=4^{\left(x-1\right)} and y=3^{\left(x+1\right)}. Apply the formula: x\left(a+b\right)=xa+xb, where a=x, b=1, x=\ln\left(3\right) and a+b=x+1. Apply the formula: x\left(a+b\right)=xa+xb, where a=x, b=-1, x=\ln\left(4\right) and a+b=x-1. Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side.
