Evaluate 2/3 natural log of 10

Problem

2/3*ln(10)

Solution

1. Identify the expression as a constant involving a natural logarithm.

2. Apply the power property of logarithms, which states a*ln(b)=ln(ba)

3. Rewrite the expression using this property:

2/3*ln(10)=ln(10(2/3))

4. Convert the exponent to radical form if necessary:

ln(10(2/3))=ln(√(3,10))

5. Simplify the value inside the radical:

ln(√(3,100))

Final Answer

2/3*ln(10)=ln(√(3,100))

Want more problems? Check here!