Question

Finding a log of a number to the base 2 using multiplication

Answer 1

Since base = 2

Logarithm is just opposite of power
Understand the below concept


2¹ = 2
2² = 4
2³ = 8
2⁴ = 16



Apply $log_{2}$ on both sides

$log_{2}1 = 0$

$log_{2}4 = 2$

$log_{2}8 = 3$

$log_{2}16 = 4$



In general case $b^{k} = c$

K = $log_{b}c$ is the solution