# Grade 11 Questions Exponential Expressions and Equations

Question 1

Solve for the unknown variable:
1.   $3^{x-1}-27=0$
2.   $27(4^{x})=(64)3^{x}$
3.   $\sqrt{2x-5}=2-x$

Question 2

1. Show that $\sqrt{\dfrac{3^{x+1}-3^{x}}{3^{x-1}}+3}$ is equal to $\text{3}$
2. Hence solve for x$\sqrt{\dfrac{3^{x+1}-3^{x}}{3^{x-1}}+3}=\left(\dfrac{1}{3}\right)^{x-2}$