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40 results.

Logs: resulting in negatives
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Question in post-algebra Arithmetic and Numeracy by Ben Brawn

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Logs: definition and concrete numbers
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Question in post-algebra Arithmetic and Numeracy by Ben Brawn

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CF Maths In class test three question 8 Integration by partial fractions with limits
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Question in Deactivated user's workspace by Jinhua Mathias

Find $\displaystyle\int \frac{ax+b}{(x+c)(x+d)}\;dx,\;a\neq 0,\;c \neq d$ .
Solving exponential equations using logs
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Question in Algebra by Ben Brawn

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Logs: scalar multiple to power inside
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Question in post-algebra Arithmetic and Numeracy by Ben Brawn

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Logarithms: Solving equations 5
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Question in Bill's workspace by Bill Foster

Given $\rho(t)=\rho_0e^{kt}$ , and values for $\rho(t)$ for $t=t_1$ and a value for $\rho_0$ , find $k$ . (Two examples).
Chain rule - log of binomial
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Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Differentiate $\displaystyle \ln((ax+b)^{m})$
Numbas demo: video
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Question in Demos by Christian Lawson-Perfect

Customised for the Numbas demo exam

Factorise $x^2+cx+d$ into 2 distinct linear factors and then find $\displaystyle \int \frac{ax+b}{x^2+cx+d}\;dx,\;a \neq 0$ using partial fractions or otherwise.

Video in Show steps.
Solving equations
Draft
Question in Bill's workspace by Bill Foster

Solve for $x$ : $\log_{a}(x+b)- \log_{a}(x+c)=d$
Solving equations
Draft
Question in Bill's workspace by Bill Foster

Solve for $x$ : $\displaystyle 2\log_{a}(x+b)- \log_{a}(x+c)=d$ .

Make sure that your choice is a solution by substituting back into the equation.
Logarithms: Solving equations 4
Draft
Question in Bill's workspace by Bill Foster

Solve for $x$ each of the following equations: $n^{ax+b}=m^{cx}$ and $p^{rx^2}=q^{sx}$ .
Logarithms: Solving equations 6
Draft
Question in Bill's workspace by Bill Foster

Solve for $x$ : $c(a^2)^x + d(a)^{x+1}=b$ (there is only one solution for this example).
Simplify logarithms 1: (Video)
Draft
Question in Bill's workspace by Bill Foster

Express $\log_a(x^{c}y^{d})$ in terms of $\log_a(x)$ and $\log_a(y)$ . Find $q(x)$ such that $\frac{f}{g}\log_a(x)+\log_a(rx+s)-\log_a(x^{1/t})=\log_a(q(x))$ .

There is a video included explaining the rules of logarithms by going through simplification of logs of numbers rather than algebraic expressions.
Logarithms: Solving equations 3
Draft
Question in Bill's workspace by Bill Foster

Solve for $x$ : $\log(ax+b)-\log(cx+d)=s$
Logarithms: Solving equations 2
Draft
Question in Bill's workspace by Bill Foster

Solve for $x$ : $\displaystyle 2\log_{a}(x+b)- \log_{a}(x+c)=d$ .

Make sure that your choice is a solution by substituting back into the equation.
Logarithms: Solving equations 1
Draft
Question in Bill's workspace by Bill Foster

Solve for $x$ : $\log_{a}(x+b)- \log_{a}(x+c)=d$
Hyperbolic Functions 1
Draft
Question in Bill's workspace by Bill Foster

Solve for $x$ : $a\cosh(x)+b\sinh(x)=c$ . There are two solutions for this example.
Chain rule
Draft
Question in Bill's workspace by Bill Foster

Differentiate $\displaystyle \ln((ax+b)^{m})$
Integration by substitution
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Find $\displaystyle I=\int \frac{2 a x + b} {a x ^ 2 + b x + c}\;dx$ by substitution or otherwise.
Integration by partial fractions
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Factorise $x^2+cx+d$ into 2 distinct linear factors and then find $\displaystyle \int \frac{ax+b}{x^2+cx+d}\;dx,\;a \neq 0$ using partial fractions or otherwise.
Integration by partial fractions
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Find $\displaystyle\int \frac{ax+b}{(x+c)(x+d)}\;dx,\;a\neq 0,\;c \neq d$ .
Solve an equation in logarithms
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Solve for $x$ : $\displaystyle 2\log_{a}(x+b)- \log_{a}(x+c)=d$ .

Make sure that your choice is a solution by substituting back into the equation.
Simplify logarithms
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Express $\log_a(x^{c}y^{d})$ in terms of $\log_a(x)$ and $\log_a(y)$ . Find $q(x)$ such that $\frac{f}{g}\log_a(x)+\log_a(rx+s)-\log_a(x^{1/t})=\log_a(q(x))$
Using Laws for Addition and Subtraction of Logarithms
Ready to use
Question in Transition to university by Hannah Aldous and 1 other

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.
Logs: change of base
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Question in post-algebra Arithmetic and Numeracy by Ben Brawn

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Logs: addition to multiplication inside
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Question in post-algebra Arithmetic and Numeracy by Ben Brawn

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Solving log equations using exponentials
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Question in Algebra by Ben Brawn

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Julie's copy of First order differential equations 4
Draft
Question in Julie's workspace by Julie Crowley

Find the solution of $\displaystyle \frac{dy}{dx}=\frac{1+y^2}{a+bx}$ which satisfies $y(1)=c$

rebelmaths
Logarithms: Solving equations 1
Ready to use
Question in Julie's workspace by Julie Crowley

Solve for $x$ : $\log_{a}(x+b)- \log_{a}(x+c)=d$
Logarithms: Solving equations 2
Ready to use
Question in Julie's workspace by Julie Crowley

Solve for $x$ : $\displaystyle 2\log_{a}(x+b)- \log_{a}(x+c)=d$ .

Make sure that your choice is a solution by substituting back into the equation.

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