# Worksheet: Solving Exponential Equations Using Exponent Properties

In this worksheet, we will practice solving exponential equations using the properties of exponents.

Q1:

Given that , find the value of .

Q2:

Given that and , find the value of .

Q3:

Given that , find the value of .

Q4:

Find the solution set of .

• A
• B
• C
• D

Q5:

Find the solution set of in .

• A
• B
• C
• D

Q6:

Find the solution set of in .

• A
• B
• C
• D

Q7:

Find the value of for which . Give your answer to the nearest tenth.

Q8:

Find the value of for which .

Q9:

Given that , find the value of .

Q10:

Given that , find the value of .

Q11:

Determine the solution set of .

• A
• B
• C
• D
• E

Q12:

Determine the solution set of .

• A
• B
• C
• D
• E

Q13:

Find the solution set of .

• A
• B
• C
• D

Q14:

Given that , find the value of .

Q15:

Find the value of for which .

Q16:

Find the solution set of in .

• A
• B
• C
• D
• E

Q17:

Given that , what are the possible value of ?

• A0
• B2
• C
• D

Q18:

Determine the solution set of .

• A
• B
• C
• D

Q19:

Given that , find the value of .

Q20:

Find the value of for which .

Q21:

Solve .

• A
• B
• C
• D
• E

Q22:

Find all the values of which satisfy .

• A or 0
• B or 0
• C2 or 0
• D2

Q23:

Find the solution set of in .

• A
• B
• C
• D
• E

Q24:

Given that , find the value of .

Q25:

Given that , determine the value of .