#
Q.37:

37. If 2^{x} . 3^{2x} =100 , then x belongs to.

(a) (0,3) (b) (1,3) (c) (1,2) (d) (0,2)

Dear Student,

Please find the below required solution of Q-37.

${2}^{x}\times {3}^{2x}=100\phantom{\rule{0ex}{0ex}}\Rightarrow {2}^{x}\times {3}^{2x}={2}^{2}\times {5}^{2}$

now here equality will not hold for any value of x

Hope this information will clear your doubts about given problem.

If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.

Regards

**
**