Answer
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Step 1:I'll solve this step-by-step using the guidelines you specified:
Step 2:: Simplify the equation
2\ln(x) = 4\ln(2)
Step 3:: Divide both sides by 2
\ln(x) = 2\ln(2)
Step 4:: Apply the exponential function to both sides
x = e^{2\ln(2)}
Step 5:: Simplify the right side
x = (2)^{2}
Step 6:: Calculate the final value
x = 4
Step 7:: Verify the solution
2.772 = 2.772 \quad \checkmark
Let's check by substituting back into the original equation:
Final Answer
x = 4
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