MYP Extended Mathematics Topic Logarithms Questionbank

Question 1

True or False: The identity $\frac{l o g _{a} M}{l o g _{a} N} = lo g_{a} (M - N)$ is a valid logarithm law for all $M > N > 0$ .

Question 2

Using the laws of logarithms, expand the following expression completely (assuming $x > - 2$ and $y > 0$ ): $lo g_{a} \frac{( x + 2 ) ^{2}}{y ^{3}}$

Question 3

If $a = lo g_{10} 2$ and $b = lo g_{10} 3$ , which of the following represents $lo g_{5} 12$ in terms of $a$ and $b$ ?

Question 4

Condense the following expression into a single logarithm with base $b$ : $\frac{1}{3} (lo g_{b} (x^{6}) + lo g_{b} (y^{3})) - lo g_{b} (x + 1)$

Question 5

For the expression $lo g_{x^{2} - 3} (5)$ to be defined for a real number $x$ , which of the following conditions must be satisfied?

MYP Extended Mathematics Logarithms Questionbank