Solving multi-step problems using non-linear equations in one variable

2(4)^{3x – 6} – 8 = 120 (Careful!)

• x = 3

• x = 4

• x = 2.9

• x = 8

Solve $81\cdot9^{\left(-2b-2\right)}=27$  

•  $b=-\frac{3}{4}$  

•  $b=-\frac{1}{2}$  

•  $b=-\frac{5}{4}$  

•  $b=\frac{2}{3}$  

Solve: $2\cdot16^{x+6}-8=35$  

Round to the hundredths.

• -4.67

• -4.89

• -2.93

• -2.95

Solve:   $5^{\left(3x+5\right)}=625^{\left(x+2\right)}$  

x = ___

Solve for x.  $36^{2x}=216$  

• 0.0794

• 0.0995

• 0.4243

• 0.4774

Find the solution to the exponential equation:  $e^{12-5x}-7=123$  

• 3.161

• 1.426

•  1.136

• 0.036

• x = -8

• x = 8

• x = 6

• x = -6