257,968 views
20 votes
20 votes
What is the inverse of the function below?

f(x) = 3^x
---
OA 1-1(x) = logg
.
B. -() = log, 3
c. 1-2(1) = 3log(7)
D. 12() = log(31)

User Greatghoul
by
2.6k points

1 Answer

11 votes
11 votes

Original: y = 3^x

---To find the inverse, switch the x and y, then solve for y.

Inverse: x = 3^y

---Take the log base 3 of both sides to get y by itself

Answer:
log_(3)(x) = y


y = log_(3)(x)

Hope this helps!

User Woodstock
by
3.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.