233 results for "logarithm".
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Question in How-tos
The expected answer involves the logarithm of a negative number, which doesn't have a unique solution.
The part's marking algorithm evaluates the exponential of the student's answer and the expected answer, and compares those.
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Question in How-tos
The expected answer involves the logarithm of a negative number, which doesn't have a unique solution.
The part's marking algorithm checks that the student's answer differs from the expected answer by a multiple of $2\pi$.
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Question in SIT281
This question asks students to solve a discrete logarithm problem with Pollard's rho algorithm as exposed in the book "introduction to cryptography with open source software" by McAndrew.
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Question in Foundation Maths
Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.
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Question in Musa's workspace
Solve a logarithmic equation
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Question in Musa's workspace
Questions testing rather basic understanding of the index laws.
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Question in Musa's workspace
Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.
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Question in MASH Bath: Question Bank
Using basic derivatives to calculate the gradient function of a hill $y=-e^{x}+b\ln{\left(x\right)+c$, and then substituting values to find the gradient at specific distance from the sea.
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Question in MASH Bath: Question Bank
Knowing the doubling time of a population and the population on day $t$, calculate the initial population and the number of days required for the population to reach a threshold.
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Question in MASH Bath: Question Bank
Calculating the rate of change of the temperature during a chemical reaction using the chain rule in a function of the form $T=ate^{-t}$, and finding the maximum temperature of the reaction.
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Question in MASH Bath: Question Bank
Finding composite functions of a quadratic function and a logarithmic function.
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Question in Martin's workspace
Solve equation involving logarithmic function.
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Question in Martin's workspace
Solve equation involving logarithmic function.
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Question in MASH Bath: Question Bank
Knowing the half-life of Carbon-14 and the initial mass of Carbon-14 when a tree was cut (a) write an expression that describes the relationship between the remaining mass and time, (b) calculate the remaining mass after $t$ years, and (c) given the remaining mass calculate how many years ago the tree was cut down.
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Question in MASH Bath: Question Bank
Finding composite functions of a linear function and a logarithmic function.
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Question in MASH Bath: Question Bank
Given an equation of the form $m=m_0 e^{-kt}$ to model the mass of a radioactive material, calculate the decay constant $k$ and the time taken for the material to reach a certain percentage of its initial mass.
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Question in MASH Bath: Question Bank
Given an equation of the form $T=T_0 e^{kt}$ to model temperature, calculate the temperature after a given time, the time taken to reach a certain temperature, and the time taken for the temperature to double.
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Question in MASH Bath: Question Bank
Calculating the amount of money in a savings account after a given amount of time, and calculating how long it will take for the amount of savings to exceed a given value.
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Question in MASH Bath: Question Bank
Rewriting expressions of the form $n \log(a)\pm m \log(b) \pm p \log(c)$ as a single logarithm.
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Question in MASH Bath: Question Bank
Rewriting expressions of the form $n\log(a)\pm m\log(b)$ as a single logarithm.
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Question in MASH Bath: Question Bank
Rewriting expressions of the form $\log(a)\pm \log(b)$ as a single logarithm.
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Question in MASH Bath: Question Bank
Rewriting $\log_{10}\left(\frac{\sqrt{x}}{y}\right)$ in terms of $\log_{10}(a)$ and $\log_{10}(b)$, where $a$, $b$, $x$ and $y$ are given.
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Question in MASH Bath: Question Bank
Rewriting $\log_{10}(\sqrt{x})$ in terms of $\log_{10}(a)$ and $\log_{10}(b)$, where $a$, $b$ and $x$ are given.
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Question in MASH Bath: Question Bank
Rewriting $\log_{10}\left(\frac{x}{y}\right)$ in terms of $\log_{10}(a)$ and $\log_{10}(b)$, where $a$, $b$, $x$ and $y$ are given.
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Question in MASH Bath: Question Bank
Rewriting $\log_{10}(x)$ in terms of $\log_{10}(a)$ and $\log_{10}(b)$, where $a$, $b$ and $x$ are given.
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Question in MASH Bath: Question Bank
Solving $\log(y)+\log(x)=\frac{1}{n}\log(ay^n)$ for $x$, where $a$ and $n$ are positive integers.
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Question in MASH Bath: Question Bank
Solving $a\log(x)+\log(b)=\log(c)$ for $x$, where $a$, $b$ and $c$ are positive integers.
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Question in MASH Bath: Question Bank
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.
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Question in MASH Bath: Question Bank
Finding $x$ from a logarithmic equation of the form $\log_x \left(\frac{1}{\sqrt(a)}\right) = \frac{1}{2}$, for a positive integer $a$.
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Question in MASH Bath: Question Bank
Finding $x$ from a logarithmic equation of the form $\log_ax = b$, where $a$ is a positive integer and $b$ is a positive fraction.