Answer:
The solution for the given equation is 5.30.
Step-by-step explanation:
The given equation is
[tex]745=5x^3[/tex]
We need to find the solution for the given equation.
Divide both sides by 5.
[tex]\frac{745}{5}=\frac{5x^3}{5}[/tex]
Cancel out common factors.
[tex]149=x^3[/tex]
Taking cube roots on both sides.
[tex]\sqrt[3]{149}=\sqrt[n]{x^3}[/tex]
[tex]5.30145919238=x[/tex]
Interchange the sides.
[tex]x=5.30145919238[/tex]
Approx the answer to the hundredths place.
[tex]x\approx 5.30[/tex]
Therefore, the solution for the given equation is 5.30.