Logarithm problem - II

[learningmathh]

I cannot tell what is wrong - because you did not tell us what you wanted to calculate!

I'm awfully sorry! Now I found that question was not fully right and I solved it. But can you help me With this one?

\(\displaystyle e^{x^{2}}=81\)

Here is how I tried to solve it

\(\displaystyle \sqrt e^{x^{2}}=\sqrt 81\)

\(\displaystyle (+-) e^{x}=+-9\)

\(\displaystyle lne^{x}=ln9\)

\(\displaystyle x=ln9\)


I feel this is wrong but how do I solve this one?

 

[Ishuda]

I'm awfully sorry! Now I found that question was not fully right and I solved it. But can you help me With this one?

\(\displaystyle e^{x^{2}}=81\)

Here is how I tried to solve it

\(\displaystyle \sqrt e^{x^{2}}=\sqrt 81\)

\(\displaystyle (+-) e^{x}=+-9\)

\(\displaystyle lne^{x}=ln9\)

\(\displaystyle x=ln9\)


I feel this is wrong but how do I solve this one?

If
\(\displaystyle e^{x^{2}}=81\)
then
\(\displaystyle ln(e^{x^{2}}) = ln(81)\) ==>
\(\displaystyle x^{2}\space ln(e) = ln(9^2)\) ==> ??

 

[learningmathh]

If
\(\displaystyle e^{x^{2}}=81\)
then
\(\displaystyle ln(e^{x^{2}}) = ln(81)\) ==>
\(\displaystyle x^{2}\space ln(e) = ln(9^2)\) ==> ??

Greatly appreciated! Thanks,I solved it!