### Home > A2C > Chapter 7 > Lesson 7.1.4 > Problem 7-54

7-54.

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

Is it true that

is equal to ? Is this a special case, or is equal tofor any values ofand?Try a few other combinations of

and.Is log

equal to log ? How can you be sure? Simplify the exponential expressions first.

Are the equations

andequivalent? Justify your answer. What solutions satisfy each equation?

Is the equation

equivalent to the equation ? How can you be sure? See part (c).