Germany | Can you solve this? | Math Olympiad

[@isminazaktas56]

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[@evrankorkut8915]

thank you very much

[@AbbasGuclu-jn3po]

3^2x=45
log3^2x=log45
2x log3=log(9×5)
2x log3=log3^2+log5
x=1/2(2 log3+log5)/
/log3
x=1+1/2log3(5)

[@AlexanderSemashkevich]

x=log45/2log3=(2log3+log5)/2log3=1+log5/2log3
x≈1+0.699/(2×0.477)≈551/318≈1.7327
Deviation is about 0.0002
3^(2×1.7327)≈45.02