If two quantities are equal, are their logarithms also equal? Consider the questions below. Homework Help ✎
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?
Is log 42 equal to log 24? How can you be sure?
Are the equations x = 5 and log x = log 5 equivalent? Justify your answer.
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).