SOLUTION: Solve 1/4 =8^5x-4

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Question 29819: Solve 1/4 =8^5x-4



Answer by shyamsundhar(3) About Me  (Show Source):
You can put this solution on YOUR website!
on cross multiplying we get 8^5x*4-16=1
we know 8=2^3,4=2^2
on applying laws of indices we get 2^15x+2=17
Applying log on both sides we get [15x+2]log2=log17
15x+2=log17/log2
15x+2=4.086
15x=2.086
x=2.086/15
x=0.139