Given that #(12^(x+1)×3^(1-x))/2^x = k(2^(x-1))#, help solve k please?

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Answer 1 · 2017-11-15T12:12:47

#k=72#

#[12^(x+1)*3^(1-x)]/(2^x)=k(2^(x-1))#

#4^(x+1)*3^(x+1)*3^(1-x)*2^(-x)=k(2^(x-1))#

#2^(2x+2)*3^2*2^(-x)=k*2^(x-1)#

#2^(x+2)*9=k*2^(x-1)#

#k=9*2^[(x+2)-(x-1)]#

#k=9*2^3#

#k=72#