Решите неравенство 8*2^(x-1)-2^(x)>48

Question

Решите неравенство 8*2^(x-1)-2^(x)>48

Answer 1

48 \\ \\ 8* \frac{2^x}{2^1} -2^{x}>48 \\ \\ 4* 2^x -2^{x}>48 \\ \\ 2^x=t \\ \\ 4t-t>48 \\ \\ 3t>48 \\ \\ t>16 \\ \\ 2^x>16 \\ 2^x>2^4 \\ x>4" alt="8*2^{x-1}-2^{x}>48 \\ \\ 8* \frac{2^x}{2^1} -2^{x}>48 \\ \\ 4* 2^x -2^{x}>48 \\ \\ 2^x=t \\ \\ 4t-t>48 \\ \\ 3t>48 \\ \\ t>16 \\ \\ 2^x>16 \\ 2^x>2^4 \\ x>4" align="absmiddle" class="latex-formula">