Question

2^x + 2^x+4 =544

Answer 1

\(2^x+2^{x+4}=544\\\Rightarrow2^x\cdot1+2^x\cdot2^4=544\\\Rightarrow2^x\cdot(1+2^4)=544\\\Rightarrow2^x\cdot(1+16)=544\\\Rightarrow2^x\cdot17=544\\\Rightarrow2^x=544:17\\\Rightarrow2^x=32\\\Rightarrow2^x=2^5\\\Rightarrow x=5\)

Answer 2

\(2^x+2^{x+4}=544\)

=>\(2^x+2^x\cdot2^4=544\)

=>\(2^x\left(1+2^4\right)=544\)

=>\(2^x\cdot17=544\)

=>\(2^x=\dfrac{544}{17}=32\)

=>\(2^x=2^5\)

=>x=5

Answer 3