# How do you solve -9.3e^(10b)=-67?

May 25, 2018

See below

#### Explanation:

Note that

$- 9.3 {e}^{10 b} = - 67$

It's the same that ${e}^{10 b} = \frac{- 67}{- 9.3} = 7.2043$

Take ln in both sides $10 b \ln e = \ln 7.2043$

But $\ln e = 1$

$10 b = \ln 7.2043$

$b = \ln \frac{7.2043}{10} = 0.1975$