perplexus.info :: Just Math : Exp=log

Exp=log (Posted on 2012-12-12)

Find all values of b such that the equation

b^x = log_bx

has exactly one real solution.

Submitted by Jer

No Rating

Solution: (Hide)

b = e^1/e, the solution is x = e.
Also any of e^-e < b < 1 yields a single solution.
See the second post by Harry to get a full explanation.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Solution - correction	Harry	2012-12-13 22:54:53
re: Solution	Charlie	2012-12-13 16:18:18
Solution	Harry	2012-12-13 14:49:12
re(3): possible solution--correction	Jer	2012-12-13 11:13:02
re: SPOILER	broll	2012-12-13 05:54:17
re(2): possible solution--correction	broll	2012-12-13 04:21:06
re: possible solution--correction	Charlie	2012-12-12 17:24:19
possible solution	Charlie	2012-12-12 17:11:08
SPOILER	Ady TZIDON	2012-12-12 15:02:06

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