Solving $a\log(x)+\log(b)=\log(c)$ for $x$, where $a$, $b$ and $c$ are positive integers.

Finding $x$ from a logarithmic equation of the form $\log_a\left(\frac{1}{x}\right) = b$, where $a$ is a positive integer and $b$ is a negative integer.

Finding $x$ from a logarithmic equation of the form $\log_x \left(\frac{1}{\sqrt(a)}\right) = \frac{1}{2}$, for a positive integer $a$.

Finding $x$ from a logarithmic equation of the form $\log_ax = b$, where $a$ is a positive integer and $b$ is a positive fraction.

Finding $x$ from a logarithmic equation of the form $\log_ax = b$, where $a$ and $b$ are positive integers.

Finding $x$ from a logarithmic equation of the form $\log_xa = b$, where $a$ and $b$ are positive integers.

Solving $e^{\ln(x)}+\ln(e^x)=a$ for $x$.

Solving an equation of the form $a^x=b$ using logarithms to find $x$.

An explore mode activity containing a lot of questions, for students to check their understanding of the information in the "Getting Started" material.

Note: This question was written for students accessing Numbas exams through the Numbas LTI tool. Some of the information does not apply to exams accessed standalone or through a generic SCORM player.

This question gives information for students on how to answer number entry parts, with some opportunities to try submitting answers.

This is out of date. There is a new "getting statrted" exam at https://numbas.mathcentre.ac.uk/exam/21108/getting-started/

6 questions which introduce the user to the Numbas system.

Given the polar coordinates of a point $P$, calculate the equivalent cartesian coordinates

Give the cartesian coordinates of a point $P$, find the equivalent polar coordinates

Given a randomised log function select the possible ways of writing the domain of the function.

Testing the understanding of the formal definition of $A\subseteq B$.

Questions testing understanding of the index laws.

Questions testing rather basic understanding of the index laws.

Finding the value of a variable

Create a truth table with 3 logic variables to see if two logic expressions are equivalent.

Demonstrates how to create variables containing LaTeX commands, and how to use them in the question text.

Testing -(-3) +(-2) etc. One part.

Independent events in probability. Choose whether given three given pairs of events are independent or not.

Round numbers to a given number of decimal places.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Round numbers to a given number of significant figures.

Calculating the integral of a function of the form $e^{ax} \cos(x)$ using integration by parts.

Calculating the integral of a function of the form $\ln(ax)$ using integration by parts.

Calculating the integral of a function of the form $ax^2 e^{bx}$ using integration by parts.