Question

If Log 4 (x) = 12, then log 2 (x / 4) is equal to

Answer 1

@AlexandervonHumboldt2 @Nnesha

Answer 2

I think it is 22 but I'm not sure

Answer 3

@AlexandervonHumboldt2 is it 22

Answer 4

hint:
if \[\large Lo{g_4}x = 12\]
then:
what is x?

Answer 5

3

Answer 6

we have to apply the definition of logarithm

Answer 7

okay

Answer 8

so what is the def.

Answer 9

so, we have:
that definition is:
the logarithm of a number is the exponent to which we have to poer the base of that logarithm in order to get that number

Answer 10

oops..power the base

Answer 11

so 3

Answer 12

no, example:
if we have:
\[\large Lo{g_4}N = A\]
then applying the definition of logarithm, we get:
\[\large N = {4^A}\]

Answer 13

okay

Answer 14

now, we have:
\[\large Lo{g_4}x = 12\]
so, what is x?

Answer 15

we have to apply the formula above

Answer 16

okay so it is 22

Answer 17

explanation:
I apply the definition of logarithm and I get:
\[\large x = {4^{12}}\]

Answer 18

please tell me when I may continue

Answer 19

48

Answer 20

no, since we can write:
\[\large \frac{x}{4} = \frac{{{4^{12}}}}{4} = ...?\]

Answer 21

what is:
\[\large \frac{{{4^{12}}}}{4} = ...?\]

Answer 22

ummm...

Answer 23

use ur calculator

Answer 24

hint:
\[\large \frac{x}{4} = \frac{{{4^{12}}}}{4} = {4^{11}} = {\left( {{2^2}} \right)^{11}} = {2^{22}}\]