# How do you solve 10^(-12x)+6=100?

Jul 16, 2016

$x = - 0.1644$

#### Explanation:

${10}^{- 12 x} + 6 = 100$

${10}^{- 12 x} = 94$

As the variable is in the index, we will use logs.

$\log {10}^{- 12 x} = \log 94$

$- 12 x \times \log 10 = \log 94 \text{ } \log 10 = 1$

$x = \log \frac{94}{- 12}$

$x = - 0.1644$