Basic Math Examples

$t = \frac{\ln (2)}{(4) \ln (1 + \frac{0.15}{4})}$

Step 1

Multiply $4$ by $\ln (1 + \frac{0.15}{4})$ .

$t = \frac{\ln (2)}{4 \ln (1 + \frac{0.15}{4})}$

Step 2

Simplify $\frac{\ln (2)}{4 \ln (1 + \frac{0.15}{4})}$ .

Tap for more steps...

Step 2.1

Simplify $4 \ln (1 + \frac{0.15}{4})$ by moving $4$ inside the logarithm.

$t = \frac{\ln (2)}{\ln ({(1 + \frac{0.15}{4})}^{4})}$

Step 2.2

Simplify the denominator.

Tap for more steps...

Step 2.2.1

Divide $0.15$ by $4$ .

$t = \frac{\ln (2)}{\ln ({(1 + 0.0375)}^{4})}$

Step 2.2.2

Add $1$ and $0.0375$ .

$t = \frac{\ln (2)}{\ln ({1.0375}^{4})}$

Step 2.2.3

Raise $1.0375$ to the power of $4$ .

$t = \frac{\ln (2)}{\ln (1.15865041)}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$t = \frac{\ln (2)}{\ln (1.15865041)}$

Decimal Form:

$t = 4.70709299 \dots$