SOLUTION: solve equation logy^8 = 3/4 how to solve this equation and will be 16

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Question 195621: solve equation
logy^8 = 3/4
how to solve this equation and will be 16
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
log%28y%2C%288%29%29=3%2F4 Start with the given equation.


Rewrite the equation using the property: log%28b%2C%28x%29%29=y ====> b%5Ey=x


Take the cube root of both sides


Take the cube root of to get


Take the cube root of 8 to get 2


Raise both sides to the 4th power


Raise to the 4th power to get "y"


Raise 2 to the 4th power to get 16.