Solving exponential equations with a common base worksheets Grade 11

How to do it

Write both sides as powers of the same base, then set the exponents equal.

Example problems

1. $27^{x} = 81$$x = \dfrac{4}{3}$Show answer
2. $2^{x + 1} = 4$$x = 1$Show answer
3. $9^{x} = 81$$x = 2$Show answer
4. $9^{x} = 3$$x = \dfrac{1}{2}$Show answer

Exponential and logarithmic functions

1. Solving exponential equations with a common base
2. Evaluating logarithms
3. Solving logarithmic equations with the definition
4. Logarithm rules with numbers
5. Expanding and condensing logarithms
6. Change of base formula
7. Solving exponential equations with logarithms
8. Solving logarithmic equations
9. Exponential growth and decay