Question

Click on the following which shows the correct work and solution to the equation 23x -1 =32Which answer is correct?A. X=7/3B. X=2C. X=34/6D X=2If the answer is B or D please be clear of which one

Answer 1

Given the following expression:

`2^(3x-1)=32`

notice that 2^5 = 32,then:

`2^(3x-1)=2^5`

this can give us the idea that both exponents on both sides of the equation are equal,then:

`3x-1=5`

solving for x we get:

`\begin{gathered} 3x-1=5 \\ \Rightarrow3x=5+1=6 \\ \Rightarrow x=(6)/(3)=2 \\ x=2 \end{gathered}`