Examples -> Algebra -> Exponential equations and inequalities -> Exponential equations

 Exercise 1. [ID:200] [Level: ] [Number of helps: 0] [Number of pictures: 0] [Number of steps: 6] [Number of characters: 0] Solve the following equation.${2}^{x-3}=16$
 Exercise 2. [ID:202] [Level: ] [Number of helps: 0] [Number of pictures: 0] [Number of steps: 7] [Number of characters: 0] Solve the following equation.${16}^{\frac{1}{x}}={4}^{\frac{x}{2}}$
 Exercise 3. [ID:204] [Level: ] [Number of helps: 1] [Number of pictures: 0] [Number of steps: 8] [Number of characters: 0] Solve the following equation.${4}^{x+1}+{4}^{x}=320$
 Exercise 4. [ID:205] [Level: ] [Number of helps: 0] [Number of pictures: 0] [Number of steps: 10] [Number of characters: 0] Solve the following equation.${2}^{x-1}-{2}^{x-3}={3}^{x-2}-{3}^{x-3}$
 Exercise 5. [ID:208] [Level: ] [Number of helps: 0] [Number of pictures: 0] [Number of steps: 12] [Number of characters: 0] Solve the following equation.${5}^{x}-{5}^{3-x}=20$
 Exercise 6. [ID:210] [Level: ] [Number of helps: 0] [Number of pictures: 0] [Number of steps: 18] [Number of characters: 0] Solve the following equation.${3}^{\frac{x-1}{2}}-{2}^{\frac{x+1}{3}}={2}^{\frac{x-2}{3}}+{3}^{\frac{x-3}{2}}$
 Exercise 7. [ID:319] [Level: ] [Number of helps: 0] [Number of pictures: 0] [Number of steps: 7] [Number of characters: 0] Evaluate the following expression:${7}^{x+2}+2×{7}^{x-1}=345\phantom{\rule{0ex}{0ex}}$
 Exercise 8. [ID:382] [Level: ] [Number of helps: 1] [Number of pictures: 0] [Number of steps: 7] [Number of characters: 0] Solve the following equation on the set of real numbers!Round your answer to three decimal places! ${2}^{x}=10$