2^log4(2-根号3)^2+3^log(2+根号3)^2[(1-log6(3)^2+log6(2)*log6(18)]/log6(4)[(1-log6(3))^2+log6(2)*log6(18)]/log6(4)
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/30 00:49:48
![2^log4(2-根号3)^2+3^log(2+根号3)^2[(1-log6(3)^2+log6(2)*log6(18)]/log6(4)[(1-log6(3))^2+log6(2)*log6(18)]/log6(4)](/uploads/image/z/2553903-63-3.jpg?t=2%5Elog4%282-%E6%A0%B9%E5%8F%B73%29%5E2%2B3%5Elog%282%2B%E6%A0%B9%E5%8F%B73%29%5E2%5B%281-log6%283%29%5E2%2Blog6%282%29%2Alog6%2818%29%5D%2Flog6%284%29%5B%281-log6%283%29%29%5E2%2Blog6%282%29%2Alog6%2818%29%5D%2Flog6%284%29)
2^log4(2-根号3)^2+3^log(2+根号3)^2[(1-log6(3)^2+log6(2)*log6(18)]/log6(4)[(1-log6(3))^2+log6(2)*log6(18)]/log6(4)
2^log4(2-根号3)^2+3^log(2+根号3)^2
[(1-log6(3)^2+log6(2)*log6(18)]/log6(4)
[(1-log6(3))^2+log6(2)*log6(18)]/log6(4)
2^log4(2-根号3)^2+3^log(2+根号3)^2[(1-log6(3)^2+log6(2)*log6(18)]/log6(4)[(1-log6(3))^2+log6(2)*log6(18)]/log6(4)
2^log4(2-√3)^2+3^log9(2+√3)^2
=[4^(1/2)]^log4(2-√3)^2+[9^(1/2)]^log9(2+√3)^2
=4^[(1/2)log4(2-√3)^2]+9^[(1/2)*log9(2+√3)^2]
=4^log4(2-√3)^[2*(1/2)]+9^log9(2+√3)^[2*(1/2)]
=4^log4(2-√3)+9^log9(2+√3)
=(2-√3)+(2+√3)
=4
{[1-log6(3)]^2+log6(2)*log6(18)}/log6(4)
={[log6(6)-log6(3)]^2+log6(2)*log6(18)}/log6(4)
={[log6(6/3)]^2+log6(2)*log6(18)}/log6(4)
={[log6(2)]^2+log6(2)*log6(18)}/log6(4)
={log6(2)*[log6(2)+log6(18)]}/log6(4)
=[log6(2)*log6(2*18)]/log6(4)
=[log6(2)*log6(36)]/log6(4)
=[log6(2)*log6(6^2)]/log6(4)
=[log6(2)*2*log6(6)]/log6(4)
=2log6(2)/log6(4)
=log6(2^2)/log6(4)
=log6(4)/log6(4)
=1