已知3的x+1次幂乘以2的x次幂减3的x次幂乘以2的x+1次幂等于36,求x
问题描述：
已知3的x+1次幂乘以2的x次幂减3的x次幂乘以2的x+1次幂等于36,求x
答
解
3^（x+1）*2^x - 3^x * 2^(x+1) =36
即 3^x * 2^x *(3-2) =36
即6^x =36
x=2
结束
答
3^(x+1)2^x-3^x2^(x+1)=36
3×3^x2^x-2×3^x2^x=36
6^x=36
6^x=6²
x=2