‚Äč(x-2)^5/2=243 SOLUTION SET

Algebra
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(x-2)^5/2=243 SOLUTION SET

Jun 3rd, 2015

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(x-2)^5/2= 243

5/2= log base (x-2) 243
log(base x-2)243 = 2.5 
x-2^(5/2) = 243 
(x-2^(5/2))^(2/5) = 243^(2/5) 
x-2 = 243^(2/5) 
x -2= (243^(1/5))^2 
x -2= 3^2 
x-2 = 9
x=7
log[x-2](243) = 5/2 
log[x-2](3^5) = 5/2 
5 * log[x-2](3) = 5/2 
log[x-2](3) = 1/2 
x-2^(1/2) = 3 
x -2= 3^2 
x -2= 9
x=7

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 3rd, 2015

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