Solve Exponent Equation (Integers) (Level 1)

This math topic focuses on solving exponential equations using logarithms. It involves determining the unknown exponent (x) that satisfies the equation when a base is raised to x to result in a specific number. The questions present equations with integer bases such as 2, 3, 4, 5, 9, and 10, equated to integers like 16, 81, 1,000, 25, and 64. Each problem offers multiple-choice answers, requiring the use of logarithmic concepts to find the correct exponent. This set of problems is introductory and fundamental for understanding the application of logarithms in solving exponential equations.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Logarithms - Solve Exponent Equation (Integers) Worksheet

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Math worksheet on 'Logarithms - Solve Exponent Equation (Integers) (Level 1)'. Part of a broader unit on 'Logarithms - Intro' Learn online: app.mobius.academy/math/units/logarithms_intro/
1
Use a logarithm to solve for the missing exponent
A LaTex expression showing 4 to the power of x = 64
a
x = 5
b
x = 1
c
x = 4
d
x = 2
e
x = 3
2
Use a logarithm to solve for the missing exponent
A LaTex expression showing 10 to the power of x = 100
a
x = 4
b
x = 3
c
x = 0
d
x = 1
e
x = 2
3
Use a logarithm to solve for the missing exponent
A LaTex expression showing 2 to the power of x = 16
a
x = 3
b
x = 2
c
x = 6
d
x = 5
e
x = 4
4
Use a logarithm to solve for the missing exponent
A LaTex expression showing 3 to the power of x = 9
a
x = 3
b
x = 2
c
x = 4
d
x = 0
e
x = 1
5
Use a logarithm to solve for the missing exponent
A LaTex expression showing 3 to the power of x = 27
a
x = 1
b
x = 2
c
x = 4
d
x = 5
e
x = 3
6
Use a logarithm to solve for the missing exponent
A LaTex expression showing 7 to the power of x = 49
a
x = 1
b
x = 3
c
x = 0
d
x = 2
e
x = 4
7
Use a logarithm to solve for the missing exponent
A LaTex expression showing 6 to the power of x = 216
a
x = 2
b
x = 4
c
x = 3
d
x = 1
e
x = 5