6^x-16×3^x-9×2^x+144

Question

6^x-16×3^x-9×2^x+144

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Answer 1

6^x-16×3^x-9×2^x+144 <= 0<br>2^x*3^x - 16 * 3^x  -  9* 2^x + 9*16 <=0<br>3^x*(2^x - 16) - 9*(2^x - 16) <= 0<br>(3^x - 9)(2^x - 16) <=0<br>(3^x - 3^2)(2^x - 2^4) <=0 <br>+++++++ 2 ------------- 4 +++++++++++
x∈[2 4]
ответ 2+3+4 = 9