Logarithms answer the question:[br][i][b]How many of one number do we multiply to get another number?[/b][/i][br][br]How many 2's do we multiply to get 8?
We need to multiply three 2's to get 8. This means that the statements below are equal.[br][br][math]2\cdot2\cdot2=8[/math] = [size=100]log[sub]2 [/sub]8 = 3[/size][br][br]This means that:[br]-the number we are multiplying is the [b]base[br][/b]-how often it is used in the multiplication problem is [b]logarithm[br][/b]-the number we want to get is 8[br]
There are laws of logarithms. Move the [b][i]p[/i][/b] and [b][i]q[/i][/b] bar to see how the rules are impacted as the numbers change. [br][br]See the different rules below: