perplexus.info :: Just Math : Logarithmic Equality

Logarithmic Equality (Posted on 2011-05-29)

Determine all possible pair(s) (p, q) of nonzero real numbers that satisfy this system of equations:

(3*p)^{log 3} = (7*q)^{log 7}, and:

7^{log p} = 3^{log q}

Note: All logarithms are considered in base ten.

Submitted by K Sengupta

Rating: 3.0000 (1 votes)

Solution: (Hide)

(p, q) = (1/3, 1/7) is the only possible pair satisfying the given conditions.

For a detailed explanation, refer to the solution submitted by Daniel in this location.

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

	Subject	Author	Date
	complete solution	Daniel	2011-05-30 10:37:07

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