Precalculus Examples

$\frac{\ln (2)}{4 \ln (1 + \frac{0.11}{4})}$

Step 1

Simplify $4 \ln (1 + \frac{0.11}{4})$ by moving $4$ inside the logarithm.

$\frac{\ln (2)}{\ln ({(1 + \frac{0.11}{4})}^{4})}$

Step 2

Simplify the denominator.

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Step 2.1

Divide $0.11$ by $4$ .

$\frac{\ln (2)}{\ln ({(1 + 0.0275)}^{4})}$

Step 2.2

Add $1$ and $0.0275$ .

$\frac{\ln (2)}{\ln ({1.0275}^{4})}$

Step 2.3

Raise $1.0275$ to the power of $4$ .

$\frac{\ln (2)}{\ln (1.11462125)}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\ln (2)}{\ln (1.11462125)}$

Decimal Form:

$6.38758965 \dots$