How do you write the equation log_4 (1/4)=-1 in exponential form?

1 Answer
Jim G.
Nov 20, 2016

4^-1=1/4

Explanation:

Using the color(blue)"laws of logarithms"

color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(log_b x=nhArrx=b^n)color(white)(2/2)|)))

From log_4(1/4)=-1

x=1/4,b=4" and " n=-1

rArr1/4=4^-1" in exponential form"

Related questions
See all questions in Logarithm-- Inverse of an Exponential Function
Impact of this question
7549 views around the world
You can reuse this answer
Creative Commons License