Logarithm Algebra (Power Property) - To Answer (Coefficient 1)

Level 1

This math topic involves practicing the power property of logarithms to simplify and solve equations for variables. The expressions provided require students to apply the logarithmic power rule to translate equations like \( n \log_b(x) = \log_b(y) \) into exponential forms and solve for variables such as 'z,' 'q,' 't,' 'r,' and 'p.' Each question offers multiple choice answers, enhancing problem-solving skills within the broader unit of advanced logarithmic functions.

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Logarithm Algebra (Power Property) - To Answer (Coefficient 1) Worksheet

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Logarithm Algebra (Power Property) - To Answer (Coefficient 1)
1
Use the power rule to simplify this and solve for 'z'
A LaTex expression showing 3\log sub 2 (z + 2) = \log sub 2 (4)
a A LaTex expression showing z=9
b A LaTex expression showing z=0
c A LaTex expression showing z=-6
2
Use the power rule to simplify this and solve for 'q'
A LaTex expression showing 2\log sub 8 (q - 5) = \log sub 8 (9)
a A LaTex expression showing q=6
b A LaTex expression showing q=12
c A LaTex expression showing q=8
3
Use the power rule to simplify this and solve for 'q'
A LaTex expression showing 4\log sub 8 (q + 8) = \log sub 8 (1)
a A LaTex expression showing q=-13
b A LaTex expression showing q=-7
c A LaTex expression showing q=-14
4
Use the power rule to simplify this and solve for 'q'
A LaTex expression showing 2\log sub 8 (q - 6) = \log sub 8 (9)
a A LaTex expression showing q=10
b A LaTex expression showing q=9
c A LaTex expression showing q=6
5
Use the power rule to simplify this and solve for 't'
A LaTex expression showing 3\log sub 10 (t + 9) = \log sub 10 (4)
a A LaTex expression showing t=-9
b A LaTex expression showing t=-13
c A LaTex expression showing t=-7
6
Use the power rule to simplify this and solve for 'r'
A LaTex expression showing 2\log sub 2 (r - 2) = \log sub 2 (9)
a A LaTex expression showing r=14
b A LaTex expression showing r=1
c A LaTex expression showing r=5
7
Use the power rule to simplify this and solve for 'p'
A LaTex expression showing 2\log sub 2 (p + 9) = \log sub 2 (1)
a A LaTex expression showing p=-3
b A LaTex expression showing p=-6
c A LaTex expression showing p=-8
8
Use the power rule to simplify this and solve for 'q'
A LaTex expression showing 2\log sub 3 (q - 9) = \log sub 3 (9)
a A LaTex expression showing q=12
b A LaTex expression showing q=17
c A LaTex expression showing q=15