Write in Exponential Form 11 natural log of 2x=7

Problem

11*ln(2*x)=7

Solution

1. Isolate the natural logarithm by dividing both sides of the equation by 11

ln(2*x)=7/11

2. Apply the definition of a natural logarithm, which has a base of e The logarithmic equation ln(A)=B is equivalent to the exponential form eB=A

e7/11=2*x

3. Rearrange the equation to place the expression containing the variable on the left side if desired, though the exponential relationship is now established.

2*x=e7/11

Final Answer

11*ln(2*x)=7⇒2*x=e7/11

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