Question

find the inverse of 6^(x-5)

Answer 1

y = 6^(x-5) , switch x and y
x=6^(y-5) , now solve for y

Answer 2

your inverse is x = 6^(y-5)

Answer 3

my teacher answer is f-1(x)=5+log6x i dont know how she got it

Answer 4

solve for y satan

Answer 5

satan?

Answer 6

yes?

Answer 7

i am a satan worshipper

Answer 8

interesting but im not sure how to solve for y
can you walk me through

Answer 9

i just prayed for satan's help

Answer 10

ok one sec

Answer 11

take that kind of talk somewhere else, you may be playing but we are here to solve math problems

Answer 12

^^what lagrange said but i dont judge

Answer 13

hey, dont persecute my religion

Answer 14

ok x = 6^(y-5)

Answer 15

take log base 6 of both sides

Answer 16

can you demonstrate how you were earlier with the numbers

Answer 17

satan ish baladdama
log_6 (x) = log_6 ( 6^(y-5)

Answer 18

first i switched x and y

Answer 19

yea so x= 6^y-5 right?

Answer 20

yes, now take log base 6 of both sides

Answer 21

that will cause the right side to cancel

Answer 22

log6x= log6y-5?

Answer 23

is that what you mean by take log 6 of both sides?

Answer 24

you have to be more careful

Answer 25

log_6 (x) = log_6 [ 6^(y-5)]

Answer 26

but you have the right idea ;)

Answer 27

o ok

Answer 28

the right side should cancel

Answer 29

ok

Answer 30

so after the right side cancels we are left with
log_6 (x) = log_6 [ 6^(y-5)]
log_6 (x) = (y-5)

Answer 31

ok what do you do next

Answer 32

now add 5 to both sides

Answer 33

log_6 (x) = log_6 [ 6^(y-5)]
log_6 (x) = (y-5)
log_6 (x) = log_6 [ 6^(y-5)]
log_6 (x)+5 = y

Answer 34

log_6 (x) = log_6 [ 6^(y-5)]
log_6 (x) = (y-5)
log_6 (x)+5 = y