\(a,2^x-24=1000\)
\(\Rightarrow2^x=1000+24\)
\(\Rightarrow2^x=1024\)
\(\Rightarrow2^x=2^{10}\)
\(\Rightarrow x=10\)
\(Vậy:x=10\)
\(b,4\cdot2^x-3=125\)
\(\Rightarrow4\cdot2^x=125+3\)
\(\Rightarrow4\cdot2^x=128\)
\(\Rightarrow2^x=128:4\)
\(\Rightarrow2^x=32\)
\(\Rightarrow2^x=2^5\)
\(\Rightarrow x=5\)
\(Vậy:x=5\)
\(c,2^x\cdot3+2^x\cdot4=56\)
\(\Rightarrow2^x\cdot\left(3+4\right)=56\)
\(\Rightarrow2^x\cdot7=56\)
\(\Rightarrow2^x=56:7\)
\(\Rightarrow2^x=8\)
\(\Rightarrow2^x=2^3\)
\(\Rightarrow x=3\)
\(Vậy:x=3\)
#\(Toru\)