A) 2: 3
B) 3:2
C) 4:3
D) 3:4
Correct Answer: A
Solution :
Given, \[{{8}^{r}}={{4}^{t}}\] \[\Rightarrow \] \[{{({{2}^{3}})}^{r}}={{({{2}^{2}})}^{t}}\] \[\Rightarrow \] \[{{2}^{3r}}={{2}^{2t}}\] Now, we know that, if base is equal then powers are equal. \[\Rightarrow \] \[3r=2t\] Thus, the ratio of \[r\] to t is \[2:3\]You need to login to perform this action.
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