Check for Solutions to Equations

Solve. Round your answers to the nearest thousandth. Check for extraneous solutions. 6\log\left(3x+7\right)=12

Solve. Round your answers to the nearest thousandth. Check for extraneous solutions. -2\log_4\left(2w+8\right)=-6

Solve. Round your answers to the nearest thousandth. Check for extraneous solutions. 8+2\log_2x=7

Solve. Round your answers to the nearest thousandth. Check for extraneous solutions. 7\ln x-5\ln x=-3

Solve. Round your answers to the nearest thousandth. Check for extraneous solutions. 6+ \ln\left(5x+4\right)=10

This system has _____ solutions

• 0

• 1

• 2

• Infinitely many

The solution is:

• (4, 3)

• (3, 4)

• (-4, 3)

• No solution

Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-1, 4)

• (1, -4)

• (-4, 1)

• (4, -1)