Question

Solve the equation for the specified variable

S=gr-5gk*3, for g

Answer 1

`g = \sqrt{(S)/(3kr^(-5))}`

Explanation:

Given

`S=gr^(-5)gk*3`

Required

Solve for g

`S=gr^(-5)gk*3`

Split into different entities

`S=g * r^(-5)*g*k*3`

Reorder in terms of like terms

`S=g*g * r^(-5)*k*3`

`S=g^2 * r^(-5)*k*3`

`S=g^2 * 3kr^(-5)`

Solve for
`g^2`

`g^2 = (S)/(3kr^(-5))`

Take square root of both sides

`g = \sqrt{(S)/(3kr^(-5))}`