SOLUTION: Hello tutors: base 8 ^ 5/3 = 2^(4 x/2).....I got the first half by doing this...base (2^3)^5/3 and then base 2^5... the second part I could not figure that out...can I have a ste

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Question 981158: Hello tutors: base 8 ^ 5/3
= 2^(4 x/2).....I got the first half by doing this...base (2^3)^5/3 and then base 2^5... the second part I could not figure that out...can I have a step by step on the second part of this equation and final answer...thanks tutors.
Answer by Edwin McCravy(20065)   (Show Source): You can put this solution on YOUR website!


Simplify the exponent  as just 



Next, write  as 



Next, we multiply the exponents of 2 on the left  getting 5



Now that the bases are the same on both sides and they are 2, 
which is positive and not 1, we merely equate the exponents
of 2:





Edwin
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