4x+6x=9x. Find ‘x’.
Chandrabhushan Reddy Chigarapalli , 9 Years ago
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Algebra> 4 x +6 x =9 x . Find ‘x’.
3 AnswersRajorshi Koyal
Last Activity: 9 Years ago
0.Approv
Chandrabhushan Reddy Chigarapalli
Last Activity: 8 Years ago
Divide both sides with 6x.You will get
(2/3)x +1 =(3/2)x
Assume (2/3)x =y.
By solving you will get a quadratic in variable y.
By using quadratic formula you will be able to get the value of x.
Shreyansh Pampaniya
Last Activity: 5 Years ago
4^x + 6^x = 9^x
1 + (3/2)^x =(3/2)^2x
Let (3/2)^x be 't'
1 + t = t^2
t^2 - t -1 =0
t=[ 1+- root (5) ] / 2
(3/2)^x = t
x = lnt/ln(3/2) [substitute value of t]
(3/2)
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