SOLUTION: 289^x - 221^x = 169^x, find x.

Algebra.Com
Question 1210273: 289^x - 221^x = 169^x,
find x.
Found 2 solutions by ikleyn, Edwin McCravy:
Answer by ikleyn(52814)   (Show Source): You can put this solution on YOUR website!
.

Go to the link

https://www.google.com/search?q=289%5Ex+-+221%5Ex+%3D+169%5Ex&rlz=1C1CHBF_enUS1071US1071&oq=289%5Ex+-+221%5Ex+%3D+169%5Ex&gs_lcrp=EgZjaHJvbWUyBggAEEUYOTIHCAEQIRigATIHCAIQIRigATIHCAMQIRigATIHCAQQIRigATIHCAUQIRigATIHCAYQIRiPAjIHCAcQIRiPAtIBCTMwMDJqMGoxNagCCLACAfEFYQOK3wTcqcbxBWEDit8E3KnG&sourceid=chrome&ie=UTF-8

and read there the solution produced by the Google AI.

It is nice, but completely artificial - like artificial flowers, made of paper.



Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!







That's a quadratic equation in 17x

 



 





Take natural logs of both sides.
We'll have to use the +











That's the exact answer.

It's approximately equal to 1.793799575.

Edwin
RELATED QUESTIONS

Find the value of x: log x... (answered by ankor@dixie-net.com)
x^2+169 (answered by checkley71)
x^2=169 (answered by rapaljer)
Find the value of n suck that x^2-17x+n is a perfect square trinominal. a. 289/2 b.... (answered by Fombitz)
Find the domain of the function: f(x)=... (answered by lwsshak3)
solve x^2 + (x+7)^2 =... (answered by nerdybill)
Solve for x 79-x=169 (answered by stanbon)
find the length of the radius of a circle whose eqaution is (x+3)2+(y-7)2=289 (answered by josgarithmetic,ikleyn)
When 289 is divided by x , the quotient is 96 R1. Solve gor... (answered by richard1234)