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Apply the formula: $y=x$$\to \ln\left(y\right)=\ln\left(x\right)$, where $x=3^{\left(2x-1\right)}$ and $y=2^{\left(x-1\right)}$
Learn how to solve equazioni esponenziali problems step by step online.
$\ln\left(2\right)\left(x-1\right)=\ln\left(3\right)\left(2x-1\right)$
Learn how to solve equazioni esponenziali problems step by step online. Solve the exponential equation 2^(x-1)=3^(2x-1). Apply the formula: y=x\to \ln\left(y\right)=\ln\left(x\right), where x=3^{\left(2x-1\right)} and y=2^{\left(x-1\right)}. Apply the formula: x\left(a+b\right)=xa+xb, where a=x, b=-1, x=\ln\left(2\right) and a+b=x-1. Apply the formula: x\left(a+b\right)=xa+xb, where a=2x, b=-1, x=\ln\left(3\right) and a+b=2x-1. Apply the formula: a\ln\left(x\right)=\ln\left(x^a\right).
