7x = 2y solve for y in terms of x
y=?

7x/2

Step-by-step explanation:

7x=2y

1) Divide both sides by 2:

y=7x/2

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: