Question

can someone explain this?

3 log 2x = 12

2x = 10^4

2x = 10 , 000

x= 5 000

Answer 1

log 2x=4
2x=10^4

Answer 2

3 log 2x = 12
You can simplify it by dividing the whole eq'n by 3. Hence,
log 2x = 4
We all know that log (a) = log base10 (a)
So therefore, it is the same as
10^4 = 2x
10000 = 2x
x = 5000

Answer 3

antilogging we get 10^4 as the base of log is 10

Answer 4

did you get it @yamyam70 ?

Answer 5

if the base were e,we would have got e^4

Answer 6

have u unrstood the first step?
log 2x=4 ???

Answer 7

one moment ,

Answer 8

log base (a) = 10 ?

Answer 9

log = 10

Answer 10

base is 10

Answer 11

or log base 10 ?

Answer 12

No.\[\log a = \log_{10} a \]
i mean, if there is no base beside the log, it is automatically 10

Answer 13

log(base 10)2x

Answer 14

so everytime I see " log " it automatically has base 10 ?

Answer 15

is my conclusion correct?

Answer 16

yes :)

Answer 17

so , 10^4 = 2x

why ?

Answer 18

we r antilogging it,so log is removed and the base shifts to the other side

Answer 19

if we have to find the value then we have to remove log first.

Answer 20

to remove log we antilog it....and dis is the process.in dis sum we have to find the value of x.so its must be free frm all logs and coefficeints.

Answer 21

when you say , antilogging, we are simply converting it to an exponential equation right?

Answer 22

log 2x = 4
raise both sides to power 10
10^(log 2x) = 10^4
cancles
2x = 10^4

Answer 23

yes u r right

Answer 24

Do you remember the form
\[\log_{a} b = c \]
is same as
\[a^c = b\]
that's why it became 2x = 10^4

Answer 25

I get it now , thanks for the help everyone @Yttrium @UnkleRhaukus @madrockz :)

Answer 26

u r welcome!!