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7.06 Properties of logarithms

Adaptive
Worksheet

Interactive practice questions

Given that $a>1$a>1, fully simplify the expression $\log_a\left(a^9\right)$loga(a9).

Medium
< 1min

Given that $a>1$a>1, fully simplify the expression $\log_a\left(\sqrt{a}\right)$loga(a).

Medium
< 1min

Given that $a>1$a>1, fully simplify the expression $\log_a\left(\frac{1}{a^2}\right)$loga(1a2).

Medium
< 1min

Given that $a>1$a>1, fully simplify the expression $\log_a\left(\frac{1}{\sqrt{a}}\right)$loga(1a).

Medium
1min
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Outcomes

F.LE.A.4

For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.

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