Question

2^x-2 - 3.2^x=-88

Answer 1

\(2^{x-2}-3.2^x=-88\)

\(\Rightarrow2^x:2^2-3.2^x=-88\)

\(\Rightarrow2^x.\left(\dfrac{1}{4}-3\right)=-88\)

\(\Rightarrow\)\(2^x.\left(-2\dfrac{3}{4}\right)=-88\)

\(\Rightarrow\)\(2^x=\)32

=> x=5

Answer 2

\(2^{x-2}-3.2^x=-88\)

\(2^x.2^{-2}-3.2x=-88\)

\(2^x.\left(2^{-2}-3\right)\) =-88

\(2^x.\left(\dfrac{1}{4}-3\right)\) =-88

\(2^x.\left(\dfrac{-11}{4}\right)\) =-88

\(2^x\) =\(-88:\left(\dfrac{-11}{4}\right)\)

\(2^x\) =32

\(2^x=2^5\)

\(\Rightarrow\) x=5