Question

need help on logarithmic equation 12^(x-2)=20

Answer 1

12^(x-2) = 20

take the log to base 12 on both sides

log_12[12^(x-2)] = log_12[20]
(x-2)log_12[12] = log_12[20]

Answer 2

ok i understand how to set it up like that but what do i do from there

Answer 3

x-2= log_12[20]

Answer 4

so i would enter it in the calculator how? sorry im not too good at math

Answer 5

the log term dosen't simplify

just get x by itself on one side

Answer 6

so it would be x=2??

Answer 7

where did the log go?

Answer 8

x-2= log_12[20]

add two to both sides

Answer 9

x =

Answer 10

20

Answer 11

? whgat

Answer 12

??? whats the answer lol it would make much better sense

Answer 13

if you try that solution in the original equation, the left hand side would become

12^(20-2)
12^18

but this is much more than the right hand side 20

Answer 14

30? lol

Answer 15

try again

Answer 16

the correct answer has a log in it

Answer 17

log 12

Answer 18

guessing isn't an effective method for maths

Answer 19

no clue?

Answer 20

if there is something i have said that you do not understand please ask about it

Answer 21

i dont undertstand this -->
x-2= log_12[20]
add two to both sides

Answer 22

x-2= log_12[20]

adding two to both sides

x-2+2= log_12[20]+2

the left hand side simplifies