Solve the following equation \(\displaystyle{3}^{{{x}^{{2}}-{6}{x}+{11}}}={8}+{{\cos}^{{2}}{\frac{{\pi{x}}}{{{3}}}}}\) Here is the problem

blestimd4pz

blestimd4pz

Answered question

2022-03-21

Solve the following equation
3x26x+11=8+cos2πx3
Here is the problem that I am struggling with it I tried to take a logarithm of both side but I kinda stuck can someone help me with this? Thanks

Answer & Explanation

ineditablesdmx0

ineditablesdmx0

Beginner2022-03-22Added 9 answers

98+cos2πx3=3x26x+11=3(x3)2+29
Thus, cos2πx3=1 and x=3, which gives the answer: 3

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