Problem 40 of 7
Condense numeric logarithmic expression log_2(8)+log_2(4)-log_2(2) to one log.
Hints
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
combine sums, differences, and coefficients.
Hidden until you reveal it.
Combine sums, differences, and coefficients in multi-term log expressions.
Enter your answer
No answer yet
Correct
Your answer is equivalent to the expected form.
Solution
Walkthrough
Walkthrough shown
Full solution stays hidden until you ask for it.
1. Move coefficients to exponents.
2. Use product law for sums and quotient law for differences.
3. Simplify the combined numeric argument.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Combining logs with unlike bases.