Question

how to change logarithmic equations to exponential form .

Answer 1

\[\log x =5 \] \[\ln 1=0 \] \[\ln 300x=1\]

Answer 2

\[\Huge \log_a x = n\]
\[\Huge \text{Becomes:}\]
\[\Huge x = a^n\]

Answer 3

logs has a base of 10

Answer 4

\[\text{Since there is no base specified we assume \it has the base of 10.}\]
\[\Huge \log_{10} x = 5\]

Answer 5

\[\text{Using the rule posted, what can you conclude?}\]

Answer 6

yes i can do it but how about ln ?!

Answer 7

Cancel the logarithm by taking exp of both sides.

Answer 8

\[\huge \ln ~300x = 1\]
\[\huge e*\ln~300x = 1*e\]
\[\huge 300x = e\]
\[\huge x = \frac{ e }{ 300 }\]
e and ln are inverses of each other and cancel out :)

Answer 9

ok ,i see how ?thanks alot \[\log x =5 \] become \[10^5=x\]

Answer 10

\[\large \ln~1 = 0~~~ \checkmark ~~\text{this is true so you can leave \it as that i guess}\]

Answer 11

Yep, you got it.

Answer 12

so i don't have to change \[\ln1=0 \]

Answer 13

Nope, the logarithm of one is zero.

Answer 14

You can plug it into your calculator and you'll see that it is true if you want.
ln 1 = 0

Answer 15

what if i did e it will be like this \[e.\ln1=0 .e\] \[1=0.e\] but it is false \[1=0\]

Answer 16

You aren't solving for a variable -.-

Answer 17

The logarithm of 1 is zero.

Answer 18

you would only multiply by e to both sides when you are solving for a variable..
in this case the ONLY thing you do
is punch ln 1 into your calculator, and you'll get the value
which is 0.

Answer 19

ok ,get but i have to be change can i say like this

Answer 20

\[loge 1=0 \]

Answer 21

LN1=0, if you raise both sides to e, it will be e^(LN1)=e^(0), 1=1 which means there are infinite number of solutions

Answer 22

They just want you to change logarithmic equations to exponential form.

1) x = 10^5
2) 1 = e^0
3) 300x = e^1 = e

Answer 23

yes i know but i am asking if i can do it like this \[\ln 1=0\] \[loge 1=0\] \[e^0=1\] \[1=1\]

Answer 24

I would stop at e^0 = 1 because you have now changed it from logarithmic equation to an exponential equation.

Answer 25

Ok ,so it right yeah ?!

Answer 26

1) x = 10^5
2) 1 = e^0
3) 300x = e^1