已知2的x次方=3,y=log2(8/3)求x+2y的值
问题描述:
已知2的x次方=3,y=log2(8/3)求x+2y的值
答案可以写为带log的形式吗
答
已知2的x次方=3,y=log2(8/3)
即
log2 (3)=x
x+2y=log2 (3)+2log2(8/3)
=log2 (3)+log2(8/3)²
=log2 (3)+log2(64/9)
=log2 (3×64/9)
=log2(64/3)