# How do you solve log_d 12 = 6?

Dec 17, 2015

${\left(12\right)}^{\frac{1}{6}} = d$

#### Explanation:

To undo a logarithm, raise both sides to the power of the base of the logarithm.

${\log}_{d} 12 = 6$

${d}^{{\log}_{d} 12} = {d}^{6}$

$12 = {d}^{6}$

${\left(12\right)}^{\frac{1}{6}} = {\left({d}^{6}\right)}^{\frac{1}{6}}$

${\left(12\right)}^{\frac{1}{6}} = d$