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Worksheet: Changing the Base of Logarithms

Demonstrate your understanding of the change of base formula and practice applying it to solve equations containing logarithms with different bases. This worksheet includes problems where one logarithm in the logarithmic equation has an unknown base.

Q1:

Select the expression equal to

A
B
C
D

Q2:

Solve , where .

A
B81
C729
D27
E

Q3:

Solve , where .

A
B2
C
D
E4

Q4:

Solve , where .

A
B5
C25
D10
E

Q5:

Solve , where .

A
B4
C8
D6
E

Q6:

Find the solution set of in .

A
B
C
D

Q7:

Find the solution set of in .

A
B
C
D
E

Q8:

Determine the solution set of the equation in .

A
B
C
D
E

Q9:

Determine the solution set of the equation in .

A
B
C
D
E

Q10:

Determine the solution set of the equation in .

A
B
C
D
E

Q11:

Determine the solution set of the equation in .

A
B
C
D
E

Q12:

Determine the solution set of the equation in .

A
B
C
D
E

Q13:

Find the solution set of in .

A
B
C
D

Q14:

Find the solution set of in .

A
B
C
D

Q15:

Find the solution set of in .

A
B
C
D
E

Q16:

Find the solution set of in .

A
B
C
D
E