Algebra with Logarithms - Binomial and Constant

Level 1

This math topic focuses on solving logarithmic equations where variables are part of a binomial expression combined with a constant, aiming to refine students' skills in manipulating and simplifying expressions involving logarithms. Problems entail solving for a specific variable within logarithmic functions, requiring the transformation of a logarithmic form to an exponential form. The worksheet provides multiple-choice answers, suggesting it also tests students' ability to calculate and verify potential solutions. This exercise is presented as a Level 1 worksheet within a broader unit on advanced logarithm functions.

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

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Algebra with Logarithms - Binomial and Constant Worksheet

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Algebra with Logarithms - Binomial and Constant
1
A LaTex expression showing \log sub {4 } {{(y - 8)}} = 3
Simplify and solve for y
a A LaTex expression showing y = 72
b A LaTex expression showing y = 56
2
A LaTex expression showing \log sub {7 } {{(n - 8)}} = 2
Simplify and solve for n
a A LaTex expression showing n = 46
b A LaTex expression showing n = 57
3
A LaTex expression showing \log sub {4 } {{(y + 9)}} = 3
Simplify and solve for y
a A LaTex expression showing y = 55
b A LaTex expression showing y = 56
4
A LaTex expression showing \log sub {6 } {{(t + 4)}} = 2
Simplify and solve for t
a A LaTex expression showing t = 40
b A LaTex expression showing t = 32
5
A LaTex expression showing \log sub {5 } {{(y - 7)}} = 2
Simplify and solve for y
a A LaTex expression showing y = 18
b A LaTex expression showing y = 32
6
A LaTex expression showing \log sub {5 } {{(r - 3)}} = 2
Simplify and solve for r
a A LaTex expression showing r = 22
b A LaTex expression showing r = 28
7
A LaTex expression showing \log sub {5 } {{(q + 4)}} = 2
Simplify and solve for q
a A LaTex expression showing q = 21
b A LaTex expression showing q = 29
8
A LaTex expression showing \log sub {9 } {{(w + 7)}} = 2
Simplify and solve for w
a A LaTex expression showing w = 75
b A LaTex expression showing w = 74