Final Answer
$x=\frac{8}{\ln\left(2\right)}$
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Step-by-step Solution
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1
Calculate the power $2^3$
$\ln\left(2^x\right)=8$
Learn how to solve logarithmic equations problems step by step online.
$\ln\left(2^x\right)=8$
Learn how to solve logarithmic equations problems step by step online. Solve the logarithmic equation ln(2^x)=2^3. Calculate the power 2^3. Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). Divide both sides of the equation by \ln\left(2\right). Simplifying the quotients.
Final Answer
$x=\frac{8}{\ln\left(2\right)}$
Exact Numeric Answer
$x=11.5416$