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Apply the formula: $y=x$$\to \ln\left(y\right)=\ln\left(x\right)$, where $x=3^{\left(x+2\right)}$ and $y=7^{\left(2x+1\right)}$
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$\ln\left(7\right)\left(2x+1\right)=\ln\left(3\right)\left(x+2\right)$
Learn how to solve equations exponentielles problems step by step online. Solve the exponential equation 7^(2x+1)=3^(x+2). Apply the formula: y=x\to \ln\left(y\right)=\ln\left(x\right), where x=3^{\left(x+2\right)} and y=7^{\left(2x+1\right)}. Apply the formula: x\left(a+b\right)=xa+xb, where a=2x, b=1, x=\ln\left(7\right) and a+b=2x+1. Apply the formula: a\ln\left(x\right)=\ln\left(x^a\right). Apply the formula: x\left(a+b\right)=xa+xb, where a=x, b=2, x=\ln\left(3\right) and a+b=x+2.