LogarithmsIB MYP Maths Extended: Flashcards

What these 13 flashcards ask

\loga b=c means?
\log2 32
\log{10}1000
\loga 1
\loga a
\log5\frac1{25}
\loga x+\loga y
\loga x-\loga y
\loga(x^n)
Solve 2^x=7 using logarithms.
What does the \log key on a calculator use as its base?
Can you find \log{10}(-5)?
Doubling sound intensity changes L=10\log{10}\left(\frac{I}{I0}\right) by how much?

Exam questions on Logarithms

Ana is converting between index form and logarithm form.
Find the value of $\log_{5}\frac{1}{25}$ .2 marks
Let $\log_{10}2=a$ and $\log_{10}3=b$ .
Write $\log_{10}\frac43$ in terms of $a$ and $b$ .2 marks
A bacterial culture starts with $500$ cells. In dish A the number of cells doubles every hour, so after $t$ hours there are $N=500\times2^{t}$ cells. A calculator may be used.
Find when the culture first reaches $3500$ cells. Give $t$ correct to 3 significant figures.3 marks

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).