SOLUTION: What is the approximate solution to the equation 4^t=68? Any help? Thanks for helping me out with finishing Highschool!!!

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Question 1082984: What is the approximate solution to the equation 4^t=68?
Any help? Thanks for helping me out with finishing Highschool!!!

Found 2 solutions by Edwin McCravy, Alan3354:
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
This is just a trial and error problem:

4%5E1=4 <-- too small
4%5E2=4%2A4=16 <-- too small
4%5E3=4%2A4%2A4=64 <-- too small, but fairly close to 68
4%5E4=4%2A4%2A4%2A4=256 <-- way too big.

So the closest is t=3.

If you were studying logarithms, you'd be able
to approximate the answer very closely as 3.043731421.

But that's not much bigger than 3, so 3 is an approximate 
answer.

Edwin

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
It's approximately 3.