Convert to Logarithmic Form 500e^(0.6x)=850

Problem

500*e(0.6*x)=850

Solution

1. Isolate the exponential term by dividing both sides of the equation by 500

e(0.6*x)=850/500

2. Simplify the fraction on the right side of the equation.

e(0.6*x)=1.7

3. Apply the definition of a natural logarithm, which states that ey=a is equivalent to ln(a)=y

ln(1.7)=0.6*x

Final Answer

500*e(0.6*x)=850⇒ln(1.7)=0.6*x

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