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10&10a

5.05 Logarithm laws

Interactive practice questions

Evaluate $\log_33$log33.

Medium
< 1min

Evaluate $\log_{10}10^{\frac{5}{4}}$log101054.

Medium
< 1min

Evaluate $\log_7\sqrt[3]{7}$log737.

Medium
< 1min

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

Medium
< 1min
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Outcomes

ACMNA265 (10a)

Use the definition of a logarithm to establish and apply the laws of logarithms

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