## Final Answer

## Step-by-step Solution

Problem to solve:

Specify the solving method

Calculate the power $2^3$

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). Eliminate the \ln\left(2\right) from the left side, multiplying both sides of the equation by the inverse of \ln\left(2\right). section:Verify that the solutions obtained are valid in the initial equation.