Question

log2(x+1)=3

Answer 1

is 2 the base ?

Answer 2

\(\LARGE\color{blue}{ \bf log_2(x+1)=3 }\) like this ?

Answer 3

yes

Answer 4

\(\LARGE\color{blue}{ \bf log_2(x+1)=3 }\)

\(\LARGE\color{blue}{ \bf log_2(x+1)=3~log_22 }\)

\(\LARGE\color{blue}{ \bf log_2(x+1)=log_22^3 }\)

\(\LARGE\color{blue}{ \bf log_2(x+1)=log_28 }\)

\(\LARGE\color{blue}{ \bf x+1=8 }\)

\(\LARGE\color{blue}{ \bf x=7 }\)

Answer 5

how about ln(x+3)=ln(2x)

Answer 6

simple x+3 = 2x

Answer 7

but what will you do to get that? one side of your problem is log, but the other is not.
So I am just using a commpon approach of putting in the magic one, as log(base x) x.

See what I am doing ?

Answer 8

can you show me the work?

Answer 9

I think I just did .

Answer 10

but wht do i do after that

Answer 11

after what ?!

Answer 12

OMG, I am out ... !

Answer 13

x+3-2x

Answer 14

X+3= 2x
2x-x=3
x= 3

Answer 15

how about 20e^3x=100

Answer 16

divide both sides by 20 what du get?

Answer 17

can u show me all work

Answer 18

why dont you try?

Answer 19

our teacher just gave us a exta credit sheet but didnt teach it to us told us to look it up

Answer 20

so it wont tke much to try it
qhy dont u divide both sides the left and the right side by 20

Answer 21

okay so i get e^3x=5 then what

Answer 22

take ln fr both sides

Answer 23

so what would itlook like

Answer 24

\[\ln(e^{3x})= \ln 5\]
\[3x \ln e = \ln 5\]
ln e = 1

so 3x = ln 5 solve for x

Answer 25

can u please solve

Answer 26

x = ln 5 / 3