Ta có:
\(2^{x-2^{ }}-3\cdot2^x=-88\)
\(\Leftrightarrow2^x:2^2-3\cdot2^x=-88\)
\(\Leftrightarrow2^x\cdot\frac{1}{4}-3\cdot2^x=-88\)
\(\Leftrightarrow2^x\left(\frac{1}{4}-3\right)=-88\)
\(\Leftrightarrow2^x\cdot\left(-\frac{11}{4}\right)=-88\)
\(\Leftrightarrow2^x=-88:\left(-\frac{11}{4}\right)\Rightarrow2^x=32=2^5\)
\(\Rightarrow x=5\)