Simplify/Condense 11 natural log of 8-11 natural log of 1

Problem

11*ln(8)−11*ln(1)

Solution

1. Identify the value of the natural log of 1, which is a known logarithmic property where ln(1)=0

2. Substitute this value into the expression to eliminate the second term.

11*ln(8)−11*(0)

3. Simplify the resulting expression by performing the multiplication and subtraction.

11*ln(8)−0=11*ln(8)

4. Apply the power rule of logarithms, n*ln(a)=ln(an) to condense the expression further.

ln(8)

Final Answer

11*ln(8)−11*ln(1)=ln(8)

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