Write in Exponential Form e^(3 natural log of x)=250

Problem

e(3*ln(x))=250

Solution

1. Apply the power property of logarithms to the exponent, which states that a*ln(b)=ln(ba)

eln(x3)=250

2. Use the inverse property of natural logarithms and exponentials, where eln(u)=u

x3=250

3. Identify the exponential form of the equation by expressing the result as a base raised to a power.

x3=250

Final Answer

e(3*ln(x))=250⇒x3=250

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