LogarithmsIB MYP Maths Extended: Mind map

Exam questions on Logarithms

1. Ana is converting between index form and logarithm form.
   Find the value of $\log_{5}\frac{1}{25}$.2 marks
2. Let $\log_{10}2=a$ and $\log_{10}3=b$.
   Write $\log_{10}\frac43$ in terms of $a$ and $b$.2 marks
3. 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