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(1/8)x+3=162x-1

 Apr 6, 2017
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(1/8)x+3 = 162x-1

 

1/8 = 2-3      and      16 = 24 

 

Substitute.

(2-3)x+3 = (24)2x-1

 

2-3x-9 = 28x-4

 

Now that the bases are the same,

we can just set the exponents equal to each other.

-3x - 9 = 8x - 4

 

-9 = 11x - 4

 

-5 = 11x

 

x = -5/11     :)

 Apr 6, 2017

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