Topics
4. Logarithmic and exponential functions
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AustraliaVIC
VCE 12 Methods 2023

4.06 Equations with logarithms

Lesson
Worksheet
Practice

Interactive practice questions

If $\log_{12}144=x$log12​144=x, write the value of $x$x in simplest form.

Medium
< 1min

Solve $\log_7y=5$log7​y=5 for $y$y.

Easy
< 1min

Solve $\log_3x=4$log3​x=4.

Easy
< 1min

Solve $2\log x=4$2logx=4.

Easy
1min
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Outcomes

U34.AoS2.4

solution of equations of the form f(x) = g(x) over a specified interval, where f and g are functions of the type specified in the ‘Functions, relations and graphs’ area of study, by graphical, numerical and algebraic methods, as applicable

U34.AoS2.11

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

U34.AoS2.8

analytical, graphical and numerical approaches to solving equations and the nature of corresponding solutions (real, exact or approximate) and the effect of domain restrictions

U34.AoS2.9

apply a range of analytical, graphical and numerical processes (including the algorithm for Newton’s method), as appropriate, to obtain general and specific solutions (exact or approximate) to equations (including literal equations) over a given domain and be able to verify solutions to a particular equation or equations over a given domain

U34.AoS2.7

exponent laws and logarithm laws

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