# How do you solve for x in  1.76 = 2.718 ^ (.0093*x)?

Apr 21, 2016

$x = \ln \frac{1.76}{0.0093 \ln 2.718} \approx 60.79$

#### Explanation:

$\ln 1.76 = \ln {2.718}^{0.0093 x}$

$\ln 1.76 = \left(0.0093 x\right) \ln 2.718$

$\ln \frac{1.76}{\ln} 2.718 = 0.0093 x$

$x = \ln \frac{1.76}{0.0093 \ln 2.718} \approx 60.79$