Nilai x yang memenuhi persamaan 4^2x+1.3^4x+1 = 432 adalah ... A) -1/2 B) 0 C) 1/2 D) 1 E) 2.... Question from @desnaput

October 2018 2 155 Report

Nilai x yang memenuhi persamaan 4^2x+1.3^4x+1 = 432 adalah ...
A) -1/2
B) 0
C) 1/2
D) 1
E) 2

izharulhaq78 $4^{2x+1}\times3^{4x+1}=432\\4^{2x}\times4\times3^{4x}\times3=432\\4^{2x}\times3^{4x}\times12=432\\(2^2)^{2x}\times3^{4x}=\frac{432}{12}\\2^{4x}\times3^{4x}=36\\(2\times3)^{4x}=36\\6^{4x}=36\\\\\text{Cara 1}\\^6\log36=4x\\2=4x\\\frac{2}{4}=x\\\boxed{\frac{1}{2}=x}\\\\\text{Cara 2}\\6^{4x}=36\\6^{4x}=6^2\\\\\therefore\\4x=2\\x=\frac{2}{4}\\\boxed{x=\frac{1}{2}}$

9 votes Thanks 27

ImmanuelSinaga $4^{2x+1} \times 3^{4x+1}=432 \\ 4^{2x+1} \times 3^{4x+1} = 16 \times 27\\ 4^{2x+1} \times 3^{4x+1}=2^4 \times 3^3 \\ \\ \text{Maka :} \\ 2x+1=4 \\ 2x=4-1 \\ x=\frac{3}{2} \\ \\ \text{atau } \\ \\ 4x+1=3 \\ 4x=3-1 \\ x=\frac{2}{4} =\frac{1}{2} \\ \text{dicobakkan} \\ \text{Maka x=}\frac{1}{2}$

5 votes Thanks 8

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Jika x1 dan x2 adalah akar-akar persamaan kuadrat x^2 - 4x +3 = 0, maka persamaan kuadrat yang akar-akarnya x1^2 dan x1^2 adalah A) x2 + 10x +9 = 0 B) x2 -10x +9 = 0 C) x2 + 4x +3 = 0 D) x2 - 4x +3 = 0 E) x2 - 4x - 9 = 0

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