SOLUTION: log cube root of x = square root of log x
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Question 29899: log cube root of x = square root of log x
Answer by kev82(151) (Show Source): You can put this solution on YOUR website!
Hi,
So 
The LHS can be rewritten as 
Now we can get rid of that nasty square root by squaring, but beware we might also introduce more solutions, so any answers we get at the end will have to be checked. ^2=9\log x)
.
We can now factorize, and solve for 
(\log x - 9)=0)
. So either 
or 
.
Now I don't know what base your logorthms are in, but I'm going to assume base 10. So we have either 
or 
. If you put these back into the equation, I think you'll find they both work.
Hope that helps,
Kev
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