Basic Math Examples

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

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

Step 1

Simplify

250 ln (\frac{50}{50.26})

$250 \ln (\frac{50}{50.26})$ by moving

250

$250$ inside the logarithm.

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

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

Step 2

Simplify the numerator.

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Step 2.1

Divide

50

$50$ by

50.26

$50.26$ .

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

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

Step 2.2

Raise

0.9948269

$0.9948269$ to the power of

250

$250$ .

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

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

\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})}

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

Decimal Form:

1.87064408 \dots

$1.87064408 \dots$