How do you solve 3 = 1.001^(12x) ?

Apr 2, 2018

Solution: $x \approx 91.60$

Explanation:

$3 = {1.001}^{12 x}$ Taking natural log on both sids we get,

$\ln \left(3\right) = 12 x \cdot \ln \left(1.001\right) \mathmr{and} 12 x = \ln \frac{3}{\ln} \left(1.001\right)$ or

$12 x \approx 1099.1615 \mathmr{and} x \approx \frac{1099.1615}{12} \approx 91.60$

Solution: $x \approx 91.60$ [Ans]