# How do you write the exponential notation for log_y 27 = 3?

Nov 11, 2015

${y}^{3} = 27$

You did not request that the value for y be determined. Only how the notation be represented.

Nov 11, 2015

Use the definition of log:

#### Explanation:

You take the base $y$ and "push" up the $3$ getting rid of the log to get:
$27 = {y}^{3}$
where you can see that $y = 3$ because ${3}^{3} = 27$.