Question 6

loading...

Prev/Next links

Jambmaths question: 

If ${{27}^{x+2}}\div {{9}^{x+1}}={{3}^{2x}}$, find x

Option A: 

3

Option B: 

4

Option C: 

5

Option D: 

6

Jamb Maths Solution: 

$\begin{align}  & {{27}^{x+2}}\div {{9}^{x+1}}={{3}^{2x}} \\ & \frac{{{27}^{x+2}}}{{{9}^{x+1}}}={{3}^{2x}} \\ & \frac{{{3}^{3(x+2)}}}{{{3}^{2(x+1)}}}={{3}^{2x}} \\ & {{3}^{3(x+2)-2(x+1)}}={{3}^{2x}} \\ & \text{Equating the powers since the bases are equal} \\ & 3(x+2)-2(x+1)=2x \\ & 3x+6-2x-2=2x \\ & x+4=2x \\ & x=4 \\\end{align}$

Jamb Maths Topic: 
Year of Exam: