### Home > INT3 > Chapter 6 > Lesson 6.2.3 > Problem 6-56

6-56.

If two quantities are equal, are their logarithms also equal? Consider the questions below. Homework Help ✎

Are the equations

*x*= 5 and log(*x*) = log(5) equivalent? Justify your answer.Is the equation log(7) = log(

*x*^{2}) equivalent to the equation 7 =*x*^{2}? How can you be sure?

What solutions satisfy each equation?

See part (a).

Yes. Possible response: Both equations have the same solutions.