Question

ln 10 + lnx = 0????

Answer 1

ln 10x= 0

10x = e^0
10x=1
x=1/10

Answer 2

where did the e come from?

Answer 3

i know ln=e but.. im confused.

Answer 4

The natural logarithm function ln, is the inverse function of the exponential function, leading to the identities:
\[\large{e^{lnx} = x}\]\[\ln(e^x)=x\]

Answer 5

and ln(e) =1

Answer 6

e is the exponent of nature log

Answer 7

so first
ln10+lnx = ln(10x) rules of logarithms

ln10x = 0

to get rid of the ln
\[\huge{e^{\ln10x}} = e^0\]

Answer 8

\[\huge{\cancel{e}^{\cancel{\ln}10x}} = e^0\]

Answer 9

e=1+1/1!+1/2!+1/3!+1/4!+.....

Answer 10

\[\huge{10x=1}\]

Answer 11

\[\huge{x=\frac{1}{10}}\]

Answer 12

ln(10x) = 0?

Answer 13

yeah

Answer 14

anything power to 0 equal to 1

Answer 15

:)

Answer 16

^^

Answer 17

I feel extra dumb.. Imma have to write this down. Bu the part where you said the identities can you say it in english?

Answer 18

which part?
my second post?

Answer 19

Ya.

Answer 20

http://www.rapidtables.com/math/algebra/ln/Ln_Inverse_Function.htm

Answer 21

so when i was trying to get rid of the ln on the left side why did i add an e on both sides instead of an ln?

Answer 22

u add e so u can solve for x only
because e is the inverse of ln so they cancel

Answer 23

so whats e^2?

Answer 24

e^2? why e^2

Answer 25

cause e^0 = 1? right? so whats the rule of it?

Answer 26

any number raised to the power 0 is 1...
e^2 is just some other number, u can find it on the calculator

Answer 27

okay so , ln(e) x = x ='s e^x=x?

Answer 28

i cant see the full link?

Answer 29

\[\ln x = \log_{e} x\]Also\[\log_{a}b = \frac{\log b}{\log a}\]So\[\ln x = \log_{e}x = \frac{\log_{10} x}{\log_{10} e} = \frac{\log_{10}x}{0.43429...}\]So you can convert betwen ln(x) and log(x) by just multiplying by a constant.

Answer 30

if I were a number then rashan^0=1 any number raised to 0 is 1.
That means: e^0=1