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

7-54.
  1. If two quantities are equal, are their logarithms also equal? Consider the questions below. Homework Help ✎

    1. Is it true that 42 is equal to 24? Is this a special case, or is ab equal to ba for any values of a and b?

    2. Is log 42 equal to log 24? How can you be sure?

    3. Are the equations x = 5 and log x = log 5 equivalent? Justify your answer.

    4. Is the equation log 7 = log x2 equivalent to the equation 7 = x2? How can you be sure?

Try a few other combinations of ab and ba.

Simplify the exponential expressions first.

What solutions satisfy each equation?

See part (c).