SOLUTION: Find the value of a: Loga 1/25 = -2/3

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Question 889692: Find the value of a:
Loga 1/25 = -2/3

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!


Use the rule:

 is equivalent to .

 is equivalent to 

.

We want to make the exponent of a become 1.  To do that we raise
both sides to the  power, the reciprocal of the power
to which a is now raised to:



Multiply those exponents and get a to the 1 power:



That's technically the answer but we need to simplify it:
We write 25 as .



We write  as 



Multiply those exponents:  





Edwin


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