# How do you write y=3^4 in Logarithm form?

Sep 10, 2016

$y = {3}^{4} \text{ "hArr " } {\log}_{3} y = 4$

#### Explanation:

Log form and index form are interchangeable.

${\log}_{a} b = c \text{ " hArr " } {a}^{c} = b$

"The base stays the base and the other two change around."

$y = {3}^{4} \text{ "hArr " } {\log}_{3} y = 4$