SOLUTION: Use a graphing calculator to solve the following equation for x. 2^x=29 What is the solution set? (Simplify your answer. Type an integer or a decimal rounded to the nearest t

Algebra ->  Expressions-with-variables -> SOLUTION: Use a graphing calculator to solve the following equation for x. 2^x=29 What is the solution set? (Simplify your answer. Type an integer or a decimal rounded to the nearest t      Log On


   

Question 420813: Use a graphing calculator to solve the following equation for x.
2^x=29
What is the solution set?
(Simplify your answer. Type an integer or a decimal rounded to the nearest thousandth.)
Found 2 solutions by stanbon, richard1234:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use a graphing calculator to solve the following equation for x.
2^x=29
---
Graph Y1 = 2^x
Graph Y2 = 29
---
Find the point of intersection using your calculator:
x = 4.857981..
Cheers,
Stan H.

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Take the log base 2 of both sides:

x+=+log%282%2C29%29

I presume that if you have a graphing calculator, it can do logarithms of any base, and you wouldn't need the change-of-base formula.