Solve Exponent Equation (Fraction Value) (Level 1)

This math topic focuses on solving exponential equations where the results are fractional values. Students are asked to determine the missing exponent in equations that involve bases raised to an unknown power equals fractions. Each problem presents a base and its power equated to the reciprocal of its power in integer form, such as `2^x = 1/8` or `4^x = 1/16`. Multiple-choice answers are provided for each question, testing the student's understanding of exponent rules and logarithmic conversions in solving these types of equations. This is designed as an introductory level to logarithms.

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Solve Exponent Equation (Fraction Value)

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Solve for the missing exponent

3x=1273^{x} = \frac{1}{27}

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Logarithms - Solve Exponent Equation (Fraction Value) Worksheet

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Math worksheet on 'Logarithms - Solve Exponent Equation (Fraction Value) (Level 1)'. Part of a broader unit on 'Logarithms - Intro' Learn online: app.mobius.academy/math/units/logarithms_intro/
1
Solve for the missing exponent
A LaTex expression showing 2 to the power of x = 1 over 8
a
x = 1
b
x = -13
c
x = -1
d
x = -5
e
x = -3
f
x = -8
2
Solve for the missing exponent
A LaTex expression showing 4 to the power of x = 1 over 16
a
x = -10
b
x = -11
c
x = -8
d
x = -2
e
x = -12
f
x = 4
3
Solve for the missing exponent
A LaTex expression showing 3 to the power of x = 1 over 9
a
x = -2
b
x = -12
c
x = -11
d
x = -6
e
x = 3
f
x = 5
4
Solve for the missing exponent
A LaTex expression showing 6 to the power of x = 1 over 216
a
x = 6
b
x = 4
c
x = -3
d
x = -4
e
x = 1
f
x = -5
5
Solve for the missing exponent
A LaTex expression showing 3 to the power of x = 1 over 27
a
x = 3
b
x = -7
c
x = -3
d
x = 4
e
x = 0
f
x = 1
6
Solve for the missing exponent
A LaTex expression showing 7 to the power of x = 1 over 49
a
x = -6
b
x = 4
c
x = -5
d
x = -12
e
x = -2
f
x = -11
7
Solve for the missing exponent
A LaTex expression showing 9 to the power of x = 1 over 81
a
x = 3
b
x = -2
c
x = 4
d
x = 0
e
x = -10
f
x = 6