# How do you solve lnx=2.7?

Jul 10, 2016

$x \setminus \approx 14.88$.

#### Explanation:

The operation inverse to the logarithm is the exponential.
Then we can apply the exponential on both side of this equation

$\ln \left(x\right) = 2.7$

${e}^{\ln \left(x\right)} = {e}^{2.7}$

and, because the exponential is the opposite of the $\ln$ we have

$x = {e}^{2.7} \setminus \approx 14.88$.