Algebra with Logarithms - Binomial over Monomial and Constant

Level 1

This math topic focuses on practicing algebra with logarithms, specifically solving equations where a binomial is divided by a monomial and a constant. The equations feature different logarithmic bases and involve simplifying expressions to solve for a variable. The problems are structured to reinforce understanding of logarithm functions and algebraic manipulation within an advanced logarithm functions unit. Each question offers multiple choice answers, enabling learners to test their solutions.

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

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Algebra with Logarithms - Binomial over Monomial and Constant Worksheet

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Algebra with Logarithms - Binomial over Monomial and Constant
1
A LaTex expression showing \log sub {4 } {{(\frac{{q + 30}}{{q}})}} = 2
Simplify and solve for q
a A LaTex expression showing q = 1
b A LaTex expression showing q = 2
2
A LaTex expression showing \log sub {5 } {{(\frac{{y + 48}}{{y}})}} = 2
Simplify and solve for y
a A LaTex expression showing y = 2
b A LaTex expression showing y = 4
3
A LaTex expression showing \log sub {4 } {{(\frac{{p + 30}}{{p}})}} = 2
Simplify and solve for p
a A LaTex expression showing p = 4
b A LaTex expression showing p = 2
4
A LaTex expression showing \log sub {2 } {{(\frac{{w + 56}}{{w}})}} = 3
Simplify and solve for w
a A LaTex expression showing w = 7
b A LaTex expression showing w = 8
5
A LaTex expression showing \log sub {2 } {{(\frac{{p + 45}}{{p}})}} = 4
Simplify and solve for p
a A LaTex expression showing p = 3
b A LaTex expression showing p = 5
6
A LaTex expression showing \log sub {3 } {{(\frac{{w + 64}}{{w}})}} = 2
Simplify and solve for w
a A LaTex expression showing w = 7
b A LaTex expression showing w = 8
7
A LaTex expression showing \log sub {3 } {{(\frac{{q + 16}}{{q}})}} = 2
Simplify and solve for q
a A LaTex expression showing q = 3
b A LaTex expression showing q = 2
8
A LaTex expression showing \log sub {3 } {{(\frac{{t + 64}}{{t}})}} = 2
Simplify and solve for t
a A LaTex expression showing t = 7
b A LaTex expression showing t = 8