Solving exponential equations with logarithms worksheets Grade 11

How to do it

Get the power alone, then take the log of both sides. Leave the answer exact: x = log₃ 20.

Example problems

1. $7^{x} = 4$$x = \log_{7} 4$Show answer
2. $3^{x} = 34$$x = \log_{3} 34$Show answer
3. $5 \cdot 3^{x} = 220$$x = \log_{3} 44$Show answer
4. $e^{x} = 58$$x = \ln 58$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