Complete the solution of the equation. Find the
value of y when x equals 15.
-3x - y = -51

Step-by-step explanation:

Given:

x=15

To solve:

Simplify the equation.

Substitute 15 into x:

-3(15) - y = -51

-45-y=-51

Switch the terms to find y:

-45+51=y

6=y

Solution:

y=6.

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:

step-by-step explanation: