32*9^x меньше или равно 60*3^X-7. Created by alinayakimova7. algebra-ru

32*9^x меньше или равно 60*3^X-7...

August 2022 1 12 Report

32*9^x меньше или равно 60*3^X-7

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uekmyfhfp 32*(3^x)^2 ≤60*3^x - 7;
3^x = t;
32 t^2 - 60 t + 7 ≤ 0;
D = 3600 - 896 = 2704 = 52^2;
t1 = 1/8;
t2= 7/4;
(t - 1/8)(t - 7/4) ≤ 0;
1/8≤ t ≤ 7/4;
1/8 ≤ 3^x ≤ 7/4;
log3_(1/8) ≤ x ≤ log3_(7/4)

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