Question

For v, where v is a rea (3v+16)¹/⁴)+8=7 is more than one solution.

Answer 1

To solve the equation (3v+16)^(1/4)+8=7, isolate the variable v by subtracting 8, raising both sides to the fourth power, simplifying, subtracting 16, and dividing by 3 to get v=-5.

Step-by-step explanation:

To solve the equation (3v+16)1/4+8=7, we need to isolate the variable v.

1. Start by subtracting 8 from both sides to get (3v+16)1/4=-1.
2. Raise both sides of the equation to the fourth power to eliminate the fractional exponent. This gives us (3v+16)=-14.
3. Simplify the right side of the equation to get (3v+16)=1.
4. Then subtract 16 from both sides to get 3v=-15.
5. Finally, divide both sides by 3 to solve for v, which gives us v=-5.

So the solution to the equation (3v+16)1/4+8=7 is v=-5.