perplexus.info :: Just Math : Try a shortcut

Try a shortcut (Posted on 2018-01-21)

List all real numbers x fulfilling:
16^x + 1 = 2^x + 8^x

See The Solution Submitted by Ady TZIDON

Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

No shortcuts (spoiler)

Comment 1 of 1

16^x -8^x - 2^x + 1 = 0

(8^x - 1) * (2^x - 1) = 0

8^x = 1 or 2^x = 1

x = 0 is the only solution

Posted by Steve Herman on 2018-01-21 09:41:24

Please log in:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (6)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info