Solve Log Equation (From Decimals) (Level 1)

This math topic focuses on solving logarithmic equations where both the bases and the numbers are given as decimals. The problems involve finding the exponent \(x\) that satisfies various logarithmic expressions, such as \(\log_{10} 10,000 = x\) or \(\log_8 337.79 = x\). Each problem offers multiple choice answers, testing the ability to apply logarithmic rules and calculations to determine the correct results. It appears to be an introductory level unit aimed at building foundational skills in understanding and computing logarithms with decimal values.

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

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Logarithms - Solve Log Equation (From Decimals) Worksheet

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Math worksheet on 'Logarithms - Solve Log Equation (From Decimals) (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 6 442.3 = x
a
x = 3.4
b
x = 4.4
c
x = 2.4
d
x = 1.4
e
x = 5.4
2
Solve the following logarithm
A LaTex expression showing \log sub 4 27.86 = x
a
x = 1.4
b
x = 2.4
c
x = 3.4
d
x = 0.4
e
x = 4.4
3
Solve the following logarithm
A LaTex expression showing \log sub 4 294.07 = x
a
x = 5.1
b
x = 6.1
c
x = 4.1
d
x = 2.1
e
x = 3.1
4
Solve the following logarithm
A LaTex expression showing \log sub 3 112.62 = x
a
x = 6.3
b
x = 2.3
c
x = 4.3
d
x = 5.3
e
x = 3.3
5
Solve the following logarithm
A LaTex expression showing \log sub 6 105.49 = x
a
x = 4.6
b
x = 1.6
c
x = 0.6
d
x = 3.6
e
x = 2.6
6
Solve the following logarithm
A LaTex expression showing \log sub 7 4,304.49 = x
a
x = 6.3
b
x = 2.3
c
x = 4.3
d
x = 3.3
e
x = 5.3
7
Solve the following logarithm
A LaTex expression showing \log sub 4 337.79 = x
a
x = 3.2
b
x = 6.2
c
x = 4.2
d
x = 5.2
e
x = 2.2