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Evaluate (250 natural log of 50/50.26)/( natural log of 1/2)

$\frac{250 \ln (\frac{50}{50.26})}{\ln (\frac{1}{2})}$

Step 1

Simplify $250 \ln (\frac{50}{50.26})$ by moving $250$ inside the logarithm.

$\frac{\ln ({(\frac{50}{50.26})}^{250})}{\ln (\frac{1}{2})}$

Step 2

Simplify the numerator.

Divide $50$ by $50.26$ .

$\frac{\ln ({0.9948269}^{250})}{\ln (\frac{1}{2})}$

Raise $0.9948269$ to the power of $250$ .

$\frac{\ln (0.27345131)}{\ln (\frac{1}{2})}$

$\frac{\ln (0.27345131)}{\ln (\frac{1}{2})}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\ln (0.27345131)}{\ln (\frac{1}{2})}$

Decimal Form:

$1.87064408 \dots$

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