How do you write #log_5y=2# in exponential form?

1 Answer
EZ as pi
Aug 9, 2016

#log_color(red)5 y = 2 " "rArr " " color(red)5^2 = y#

Explanation:

log form is written as #" "log_a b = c#
exponential (index) form is #" "a^c = b#

The two forms are interchangeable.

To make it easier remember:

"The base stays the base and the other two swop around"

#log_color(red)5 y = 2 " "rArr " " color(red)5^2 = y#

Related questions
See all questions in Logarithm-- Inverse of an Exponential Function
Impact of this question
2744 views around the world
You can reuse this answer
Creative Commons License