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6.05 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).

Easy
< 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

A2.F.LE.A.1

Know the relationship between exponential functions and logarithmic functions. *

A2.MP1

Make sense of problems and persevere in solving them.

A2.MP3

Construct viable arguments and critique the reasoning of others.

A2.MP6

Attend to precision.

A2.MP8

Look for and express regularity in repeated reasoning.

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