, derived as follows:

______, which means: , and subsequently,  

Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
 The log is the exponent of the base that gives you a number For example log 100 is 2 because 2 is the exponent of 10 (the base) that gives us 100. The cube root of 10 is  (The exponent is 1/3) so the log base 10 of the cube root of 10 is 1/3. 

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