Solve Log Equation (Fraction Value) (Level 1)

This math topic focuses on solving logarithmic equations where the arguments are fractional values. Students practice determining the unknown variable 'x' in equations of the form \(\log_b \left(\frac{1}{a}\right) = x\) for various bases \(b\) and fractional arguments \(a\). Each problem includes multiple choice answers, requiring the student to select the correct value of \(x\) that satisfies the logarithmic equation. This is part of a broader introduction to logarithms, enhancing skills in understanding and manipulating logarithmic expressions.

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

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Logarithms - Solve Log Equation (Fraction Value) Worksheet

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Math worksheet on 'Logarithms - Solve Log Equation (Fraction Value) (Level 1)'. Part of a broader unit on 'Logarithms - Intro' Learn online: app.mobius.academy/math/units/logarithms_intro/
1
Solve the following logarithm
A LaTex expression showing \log sub 10 1 over 100 = x
a
x = -1
b
x = -5
c
x = -7
d
x = -9
e
x = -10
f
x = -2
2
Solve the following logarithm
A LaTex expression showing \log sub 10 1 over 100,000 = x
a
x = -3
b
x = 1
c
x = -5
d
x = 2
e
x = -11
f
x = -15
3
Solve the following logarithm
A LaTex expression showing \log sub 10 1 over 10,000 = x
a
x = -6
b
x = -11
c
x = -9
d
x = -4
e
x = -5
f
x = -2
4
Solve the following logarithm
A LaTex expression showing \log sub 4 1 over 16 = x
a
x = -6
b
x = -5
c
x = -2
d
x = -12
e
x = -11
f
x = -10
5
Solve the following logarithm
A LaTex expression showing \log sub 3 1 over 81 = x
a
x = 1
b
x = -2
c
x = -3
d
x = 5
e
x = -1
f
x = -4
6
Solve the following logarithm
A LaTex expression showing \log sub 2 1 over 8 = x
a
x = 2
b
x = -2
c
x = -3
d
x = -10
e
x = -9
f
x = -8
7
Solve the following logarithm
A LaTex expression showing \log sub 5 1 over 125 = x
a
x = -6
b
x = -2
c
x = 3
d
x = -3
e
x = 5
f
x = 1