SOLUTION: Dear Sir/Madam, Please help me with this logarithm problem, If {{{b = log(3,x)}}}, find x in {{{log(b,(log(3,x^2)))=2}}}. note: the base in log3x is 3, the base in

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Question 895153: Dear Sir/Madam,

Please help me with this logarithm problem,
If , find x in .


note: the base in log3x is 3, the base in logb is b and the base in log3x^2 is 3.

Thank you very much!
Found 2 solutions by Jc0110, MathTherapy:
Answer by Jc0110(165)   (Show Source): You can put this solution on YOUR website!



... Substitute into








... is not acceptable.
or

... is acceptable.
Substitute into


Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

Dear Sir/Madam,

Please help me with this logarithm problem,
If , find x in


note: the base in log3x is 3, the base in logb is b and the base in log3x^2 is 3

Thank you very much!




 = 

Since , then , or  = 2b

 ------ Substituting 2b for  in 







Thus, b = 2                 OR            b = 0 (ignore)



Now, since , and b = 2, then:



, or  

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