SOLUTION: 1/5logb(5^1/2)+2logb(5^-4)=-79/30 what is the value of b

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Question 359577: 1/5logb(5^1/2)+2logb(5^-4)=-79/30 what is the value of b
Answer by Alan3354(69443) About Me  (Show Source):
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1/5logb(5^1/2)+2logb(5^-4)=-79/30 what is the value of b
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1/5logb(5^1/2)+2logb(5^-4)=-79/30
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log(5^(0.1)/5^(-8)) = -79/30 log base b
log(5^8.1) = -79/30
b^(-79/30) = 5^8.1
b = (5^8.1)^(1/(-79/30))
b = (5^8.1)^(-30/79)
b =~ 7.0795E-3 = 0.0070795