# How do you rewrite y^x = 218/157  in logarithmic form?

Jan 5, 2018

${\log}_{y} \left(\frac{218}{157}\right) = x$

#### Explanation:

We can convert from exponential to logs using this idea:

${a}^{b} = c \setminus \rightarrow {\log}_{a} \left(c\right) = b$

So given ${y}^{x} = \frac{218}{157}$ we can convert to logs:

${\log}_{y} \left(\frac{218}{157}\right) = x$