Germany | Can you solve this? | Math Olympiad

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[@emir320d]

Hi
İ think like this;
3^2x+4=
3^2x.3^4=3^2.2^2
3^2x=2^2/3^2
We take the square root
3^x=2/3
And x=log(3)2/3
X=log(3)2-1

[@angelnavarrete2300]

Excelente! Gracias

[@nestor6565]

Great!!! Finally someone uses logarithm. BTW... Why you don't start using log base three?

[@AlexanderSemashkevich]

(x+2)log9=log36
x=log36/log9-2=(log9+log4)/log9-2=1+2log2/2log3-2=2(log2/log3)-1
x≈2(0.301/0.477)-1≈-352/854≈-0.369
Deviation is about 0.0001
9^(-0.369+2)≈36.006

[@MasterTMathsClass]

@@AlexanderSemashkevich ✌️

[@NatarajanGanesan]

A quick reasoning can give you a rough value

[@MasterTMathsClass]

👌

[@andresrebolledobanquet1924]

9x + 18 = 36
9x = 36 - 18
9x = 18
x = log18 / log 9
x = 1.31546
9^1.31546 = 18

[@MasterTMathsClass]

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