Answer:
[tex]x=5[/tex]
Step-by-step explanation:
We need to solve the equation for the variable x
Use the properties of logarithms.
[tex]2 ^ {log_2(x)} = x[/tex]
Then we have that:
[tex]2^{log2(3x - 7)} = 2^3[/tex]
So
[tex]3x -7 = 8[/tex] add 7 to both sides
[tex]3x -7 +7 = 8+7[/tex]
[tex]3x = 15[/tex] divide by 3 both sides of the equation
Therefore:
[tex]x = \frac{15}{3}[/tex]
Finally
[tex]x=5[/tex]
