Question

What is the solution to the equation log 4 x – log 4 2 = 2 ?

x = 16

x = 4

x = 32

x = 8

Answer 1

log 4 x – log 4 2 = 2
by law of logs left hand side = log 4 x/2
log4 x/2 = 2
can you continue from here?

Answer 2

by definition

if log to base a of b = c

then a^c = b

Answer 3

I am = still confused

Answer 4

ok we have
log to base 4 of x/2 = 2

compare this with

log to base a of b = c

- so in your case you have a = 4 , b = x/2 and what is c = to?

Answer 5

c = 2 - do you see why? - i am comparing the two above formula formulae

Answer 6

* two above formulae

Answer 7

do you follow that?