Answer
$x=\frac{3}{2}$
Work Step by Step
Step 1: $9^{x+1}=243$
Step 2: $(3^{2})^{x+1}=3^{5}$
Step 3: $3^{2x+2}=3^{5}$
Step 4: $2x+2=5$
Step 5: $2x=5-2$
Step 6: $2x=3$
Step 7: $x=\frac{3}{2}$
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