SOLUTION: I am getting stuck on this one: 1/8=4^5x-2 Please Help

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Question 41300: I am getting stuck on this one:
1/8=4^5x-2
Please Help

Answer by psbhowmick(878)   (Show Source): You can put this solution on YOUR website!
I presume that your equation is .
This can be written as
or

Equating the index of 2 on both sides
-3 = 2(5x - 2)
or 10x = 4 - 3 = 1
or x = 1/10 =0.1

Answer is 0.1.

However if the equation is then

or
or
or since
Taking logarithm of both sides w.r.t. base 10
or log(17) = (10x+3)log(2)
or 10x + 3 = = 4.087463
or 10x = 1.087463
or x = 0.1087463

Then the answer is 0.1087463.

Next time, before you put up a question make sure that there is no controversy about brackets.

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