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AustraliaVIC
VCE 12 Methods 2023

4.05 Properties of logarithms

Interactive practice questions

Simplify each of the following expressions without using a calculator. Leave answers in exact form.

a

$\log_{10}11+\log_{10}2+\log_{10}9$log1011+log102+log109

b

$\log_{10}12-\left(\log_{10}2+\log_{10}3\right)$log1012(log102+log103)

Easy
1min

Simplify each of the following expressions without using a calculator. Leave answers in exact form.

Easy
1min

Evaluate $\log_33$log33.

Easy
< 1min

Evaluate $\log_{10}0.1$log100.1.

Easy
< 1min
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Outcomes

U34.AoS2.11

apply algebraic, logarithmic and circular function properties to the simplification of expressions and the solution of equations

U34.AoS2.7

exponent laws and logarithm laws

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