Question

18. Calculate the following logarithms. c. log9(3)

Answer 1

Answer:

$\log_{9}(3) = \frac{1}{2}$

Step-by-step explanation:

To solve logarithms, we have to consider the following:

$\log_{a}(b) = c$ means that $a^{c} = b$.

So, for example:

$\log_{10}(100) = 2$ means that $10^{2} = 100$.

So

$\log_{9}(3) = x$

$9^{x} = 3^{1}$

9 is 3*3. So

$3^{2x} = 3^{1}$

$2x = 1$

$x = \frac{1}{2}$

So

$\log_{9}(3) = \frac{1}{2}$