\(3^{x+1}-3^x=1458\)
\(\Leftrightarrow3^x.3-3^x=1458\)
\(3^x.\left(3-1\right)=1458\)
\(3^x.2=1458\)
\(3^x=1458:2\)
\(3^x=729\)
\(3^x=3^6\)
\(\Rightarrow x=6\)
3\(x+1\) - 3\(^x\) = 1458
3\(^x\).( 3 - 1) = 1458
3\(^x\). 2 = 1458
3\(^x\) = 1458: 2
3\(^x\) = 729
3\(^x\) = 36
\(x\) = 6
\(3^{x+1}-3^x=1458\)
\(\Rightarrow3^x.3-3^x=1458\)
\(\Rightarrow3^x.\left(3-1\right)=1458\)
\(\Rightarrow3^x.2=1458\)
\(\Rightarrow3^x=1458:2\)
\(\Rightarrow3^x=729\)
\(\Rightarrow3^x=3^6\)
\(\Rightarrow x=6\)