solve 3 x 2 a -1 = 96

Hallo anonymous!

 

solve 3 x 2^a-1 = 96

 

3 x 2^a-1 = 96    

lg 3 + (a - 1)*lg 2 = lg 96

a -1 = (lg 96 - lg 3) / lg 2

a = (lg 96 - lg 3) / lg 2 + 1 

 

a = 6

 

test:

3 * 2^(6-1) = 96

3 * 2^5 =96

3 * 32 = 96   okey

 

:- )