2log4 (2-根号3)²+3log9(2+根号3)²
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2log4 (2-根号3)²+3log9(2+根号3)²
2log4 (2-根号3)²+3log9(2+根号3)²
2log4 (2-根号3)²+3log9(2+根号3)²
题目表达式不明晰;
估计应是:2倍[以 4 为底的 (2-√3)² 的对数]+3倍[以 9 为底的 (2+√3)²的对数];
2^[log(2-√3)²]+3^[log(2+√3)²]……式子前半部分对数以 4 为底,后半部分对数以 9 为底;
=2^[2log(2-√3)]+3^[2log(2+√3)]=(2²)^[log(2-√3)]+(3²)^[log(2+√3)]
=4^[log(2-√3)]+9^[log(2+√3)]
=(2-√3)+(2+√3)=4;