A) \[\frac{5}{2}\]
B) \[5\]
C) \[1\]
D) \[\frac{7}{3}\]
Correct Answer: C
Solution :
\[{{3}^{3x-5}}=\frac{1}{{{9}^{x}}}\] \[\Rightarrow \] \[{{3}^{3x-5}}={{3}^{-2x}}\] \[\Rightarrow \] \[3x-5=-2x\] [When bases are equal, powers can be equated.] \[\Rightarrow \] \[5x=5\] \[\Rightarrow \] \[x=1\]You need to login to perform this action.
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