Question

How is the Ancient Puzzle related to the inverse function for y=3^x in problem 5‑53? Show how you can use the idea in the Ancient Puzzle to write an equation in y= form for the inverse y=3^x function of .

Answer 1

Answer:

The ancient puzzle was created by Indian mathematicians over 2000 years ago. The puzzle can be solved using a simple technique: If loga^b = c, then b^c = a

Step-by-step explanation:

for y = 3^x

To find the inverse, replace y by x and vice-versa, then solve for y

x = 3^y

Take log to base 3 of both sides

log3^x = log3^(3^y)

y = Log 3^x

The inverse of the function y = 3^x  given as y = log 3^x completely depicts the idea of the ancient puzzle.