Question

solve the given equation. round to the nearest hundreth, if neccesary

9e^x-9=10??

Answer 1

@ganeshie8 ??

Answer 2

\(9e^x-9=10\)

Answer 3

like that ?

Answer 4

yes

Answer 5

start by adding \(9\) both sides

Answer 6

\(\large \bf \textit{log cancellation rule of }log_{\color{red}{ a}}({\color{red}{ a}}^x)=x
\\ \quad \\
9e^x-9=10\implies 9e^x=19\implies e^x=\cfrac{19}{9}
\\ \quad \\
\large log_{\color{red}{ e}}({\color{red}{ e}}^x)=log_{\color{red}{ e}}\left(\cfrac{19}{9}\right)\)

what do you think?

Answer 7

so the answer would be 2.11??

Answer 8

hmm 2.11?

Answer 9

use the log cancellation rule on the left side

Answer 10

so what would be the answer @jdoe0001

Answer 11

dunno what would the left side give you using the cancellation rule?

Answer 12

x=2.11

Answer 13

well, you're correct, the left side ends up as "x"
but on the right side, you're skipping the \(\bf ln \) part

Answer 14

so what would ii do??

Answer 15

@jdoe0001

Answer 16

\(\large \bf log_{\color{red}{ e}}({\color{red}{ e}}^x)=log_{\color{red}{ e}}\left(\cfrac{19}{9}\right)\implies x=log_{\color{red}{ e}}\left(\cfrac{19}{9}\right)\implies x=ln\left(\cfrac{19}{9}\right)\)

Answer 17

what do you get as the answer??

Answer 18

@jdoe0001

Answer 19

hmmm do you have an [ln] button in your calculator? you should I'd think

Answer 20

i dont have a caculator @jdoe0001

Answer 21

-> http://desmos.com/calculator <----

Answer 22

natural logarithm, or "ln" should be there under "functions > calc"

Answer 23

https://www.google.com/search?client=opera&rls=en&q=ln(19/9)&sourceid=opera&ie=utf-8&oe=utf-8&channel=suggest