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find x (1/2)^x = 4

 Feb 28, 2016
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(1/2)^x  = 4

 

Note that 1/2  =  2^-1     and 4 = 2^2    .....so....

 

(2^-1)^x  = (2)^2

 

2^(-x)   = (2)^2           and since the bases are the same, we can solve for the exponents

 

-x  =  2                  multiply both sides by a negative

 

x = -2

 

 

 

cool cool cool 

 Feb 28, 2016

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