Given the following expression:
[tex]2^{3x-1}=32[/tex]
notice that 2^5 = 32,then:
[tex]2^{3x-1}=2^5[/tex]
this can give us the idea that both exponents on both sides of the equation are equal,then:
[tex]3x-1=5[/tex]
solving for x we get:
[tex]\begin{gathered} 3x-1=5 \\ \Rightarrow3x=5+1=6 \\ \Rightarrow x=\frac{6}{3}=2 \\ x=2 \end{gathered}[/tex]
