SOLUTION: I have been working on this math problem for a while now and I don't understand how to do it. I was wondering if someone could help me and explain each step as to how to solve the
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Question 411149: I have been working on this math problem for a while now and I don't understand how to do it. I was wondering if someone could help me and explain each step as to how to solve the problem? Please and Thank You!
Solve the Logarithmic equation
ln(ln(x^2))=0
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Solve the Logarithmic equation
ln(ln(x^2))=0
..
A logarithim can be defined as follows:
The base raised to the logarithm of the number is=to the number.
In the first step,the base=e,the logarithm of the number is=0,and the number=ln(x^2). This is also the exponential form of a logarithm.
ln(ln(x^2))=0. In the second step with the same base=e,the logarithm of the number is=1,and the number is x^2.
..
first step:
e^0=ln(x^2)
1=ln(x^2)
..
second step:
1=ln(x^2)
e^1=x^2
x=+-sqrt(e)
..
Check:
ln(ln(x^2))=0
ln[x^2]=ln[(+-sqrt(e)^2]=lne=1
then,ln(ln(x^2))
=ln(1)=0
so,ln(ln(x^2))=0
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