Solve for x (natural logarithm (ln) question)?

Question

I need help with answering this question:

Solve for x.

ln x = 2(ln 1 - ln 11)

x = ??

thanks

Answer 1

ln 1 = 0 so the equation is ln x = -2*ln 11 = ln (11^-2).



So x = 11^-2 = 1/121

Answer 2

Okay, so ln isn't just a variable. This is a simple solution. punch in your calculator the ln1 and then ln11 subtract them, multiply by 2, and then e it, because that cancels out the ln on the right side, so then you are left with e raised to the answer on the left, then punch that in the calculator and there is your answer.

ln x = 2(ln1-ln11)

ln x = 2(-2.397)

ln x = - 4.795

***e it!

e^ e^

x = e ^ - 4.795

x=.008271

Your welcome. :)

Answer 3

x = e^(2(ln1-ln11)



Sorry I don't have a calculator handy to do that but if you just put that it you should get an answer.