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Exponential And Logarithmic Functions Worksheet With Answers Pdf

If you’re looking to test your knowledge of exponential and logarithmic functions, then you’ve come to the right place. In this article, we’ll provide you with a comprehensive worksheet to help you assess your understanding of these mathematical concepts.

What are exponential and logarithmic functions?

Exponential Function

Exponential functions are functions that have a constant base raised to a variable power. For example, the function f(x) = 2^x is an exponential function, because the base (2) is constant and the power (x) is the variable. Logarithmic functions are the inverse of exponential functions; they are functions that have a variable base raised to a constant power. For example, the function g(x) = log2 x is a logarithmic function, because the base (2) is constant and the power (x) is the variable.

Worksheet questions

Logarithmic Function

1. Evaluate the expression 2^3.

2. Evaluate the expression 5^0.

3. Evaluate the expression log5 25.

4. Evaluate the expression log3 81.

5. Solve the equation 2^x = 8.

6. Solve the equation 3^x = 1/27.

7. Solve the equation log6 x = 2.

8. Solve the equation log2 x = -3.

Answers

1. 8.

2. 1.

3. 2.

4. 4.

5. 3.

6. -3.

7. 36.

8. 1/8.

Conclusion

If you were able to answer all the questions correctly, congratulations! You have a good understanding of exponential and logarithmic functions. If you struggled with some of the questions, don’t worry – practice makes perfect. Keep working on these concepts and you’ll soon become an expert in no time.

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