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Question

Part 1
Solve the logarithmic equation.
6 plus 4 ln x equals 26
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Part 1
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​(Simplify your answer. Type an exact​ answer, using e as​ needed.)

Answer 1

To solve the logarithmic equation \( 6 + 4 \ln x = 26 \), we can start by isolating the logarithmic term:

1. Subtract 6 from both sides: \[ 4 \ln x = 26 - 6 \] \[ 4 \ln x = 20 \]

2. Next, divide both sides by 4: \[ \ln x = \frac{20}{4} \] \[ \ln x = 5 \]

3. To solve for \( x \), we exponentiate both sides to remove the logarithm. Remember that the base of the natural logarithm is \( e \): \[ x = e^5 \]

Thus, the solution is: \[ x = e^5 \]

You can enter \( e^5 \) as your final answer.