Question

log(x+16)-log(x)=1
solve for x

Answer 1

so do you know the property of logarithms ?

Answer 2

lod a - log b = ?

Answer 3

log(x(x+16)=1?

Answer 4

not is right

because log a -log b =log a/b

Answer 5

oh okay so log(x+16)/(x)=1?

Answer 6

yes

can you tel me in this your exersice what is the base of log x ?

Answer 7

10

Answer 8

this is sure ?

Answer 9

yes sir

Answer 10

ok,nice

so than the 1 how can you rewriting using logarithm

Answer 11

suppose you know it that log(a) a =1

Answer 12

came on this is easy

Answer 13

hm I'm not sure... are you refering to log(x+16)(x+16) ?

Answer 14

so because you know that log x has a base of 10 so than you can rewriting the 1 using logarithm with base of 10 like

1=log 10

Answer 15

ok ?

Answer 16

oooooh

Answer 17

yes ?

Answer 18

so than how will be your exersice using this ?

Answer 19

so you get log(x+16)/(x)=log10 ?

Answer 20

but I dont know what the step is after that..

Answer 21

yes

Answer 22

so when will be equal log a =log b ?

Answer 23

how do you think log 2 =log 3 ?

Answer 24

or

log 5=log 5

?

Answer 25

its multiplied by 1?

Answer 26

no

when will be equal

log a = log b ?

Answer 27

Im sorry i just dont know

Answer 28

so you know that log 5 = log 5

because 5=5

ok ?

so this mean that log a =log b just when a=b

this mean in your case what ?

Answer 29

x+16=x?

Answer 30

no

check it please

Answer 31

x+16=-x?

Answer 32

the left part equal right part

so


(x+16)/x =10

right ?

Answer 33

yes

Answer 34

why ?

Answer 35

because the log cancel out?

Answer 36

ok

can you continue it to solve for x ?

Answer 37

(x+16)/x =10

what is the next step ?

Answer 38

well i multiplied X by both sides and that gave me x+16=10x

Answer 39

yes and ?

Answer 40

well i got x=1.78

Answer 41

how ?

Answer 42

16=9x
1.78=x
x=1.78

Answer 43

yes right

good luck

was my pleasure

bye

Answer 44

um well i plugged that answer into my computer program (Wiley Plus) and it said that was the incorrect answer. are you sure i did it correctly?

Answer 45

Are you sure you typed it correctly? Otherwise, could it be looking for an exact figure: 16/9?
The answer should be correct.