Solve Log Equation (Fraction Base) (Level 1)

The math topic explores solving logarithmic equations where the bases are fractions. Specifically, it practices skills related to determining the unknown variable 'x' in logarithm equations with fractional bases, a fundamental concept in introductory logarithms. Each question presents a logarithm equation, expressed in formula notation involving fraction bases and varying numerators, challenging problem-solving skills and understanding of log properties. The questions are varied in complexity and allow the students to engage with different scenarios within logarithm calculations.

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

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Solve Log Equation (Fraction Base)

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Solve the following logarithm

log110110,000=x\log _{\frac{1}{10}} \frac{1}{10,000} = x

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Logarithms - Solve Log Equation (Fraction Base) Worksheet

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Math worksheet on 'Logarithms - Solve Log Equation (Fraction Base) (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 1 over 10 1 over 1,000 = x
a
x = 9
b
x = -5
c
x = 2
d
x = 3
e
x = -6
f
x = 8
2
Solve the following logarithm
A LaTex expression showing \log sub 1 over 10 1 over 10,000 = x
a
x = 4
b
x = 1
c
x = 13
d
x = 5
e
x = 9
f
x = -1
3
Solve the following logarithm
A LaTex expression showing \log sub 1 over 4 1 over 64 = x
a
x = 6
b
x = -2
c
x = -4
d
x = 3
e
x = 11
f
x = 9
4
Solve the following logarithm
A LaTex expression showing \log sub 1 over 6 1 over 216 = x
a
x = -1
b
x = 3
c
x = -5
d
x = 4
e
x = -4
f
x = 1
5
Solve the following logarithm
A LaTex expression showing \log sub 1 over 2 1 over 16 = x
a
x = 13
b
x = -2
c
x = 1
d
x = -5
e
x = 4
f
x = -6
6
Solve the following logarithm
A LaTex expression showing \log sub 1 over 8 1 over 64 = x
a
x = 11
b
x = 1
c
x = 2
d
x = -5
e
x = 3
f
x = 10
7
Solve the following logarithm
A LaTex expression showing \log sub 1 over 5 1 over 25 = x
a
x = -1
b
x = 4
c
x = 2
d
x = -2
e
x = -7
f
x = 6