psteelerz psteelerz
  • 26-02-2021
  • Mathematics
contestada

What function is the inverse of the exponential function y = 4^x?

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 13-05-2022

The function that is the inverse of the exponential function y = 4^x is lnx/ln4

Exponential functions

The standard exponential function is given as y = ab^x

Given the function

y = 4^x

Replace y with x

x = 4^y

Make y the subject of the formula

lnx = ln4^y
lnx = yln4

Divide both sides by ln4

lnx/ln4 = y

Hence the function that is the inverse of the exponential function y = 4^x is lnx/ln4

Learn more on inverse function here: https://brainly.com/question/2873333

#SPJ2

Answer Link

Otras preguntas

What Is The Disadvantages Of Despotic Government?
For each term or name, write a sentence explaining its significance. • obsidian • Quetzalcoatl • Triple Alliance • Montezuma II
Why is the nickname dark reaction not entirely correct for the chemical stage of photosynthesis?
Which of the following does NOT characterize the Baroque era? A. An age of reason b. An age of freedom and democracy c. An era of absolute monarchy d. An era of
Procedural rights protect people from abuses by which part of the government
How were the Inca able to conquer such a vast empire?
Do you think Edward Snowden was right to leak secret NSA information about how the government spies on citizens?
How do you add 0.89+0.657?
Why is the nickname dark reaction not entirely correct for the chemical stage of photosynthesis?
Which of these questions would best help Xiao address a challenge in his community?