Problem 42 of 7
Evaluate basic logarithm log_8(2) using the definition.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
find exponent producing argument.
Hidden until you reveal it.
Find the exponent producing the argument using common powers and fractional powers.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Ask what exponent on the base gives the argument.
2. Rewrite the argument as a power of the base.
3. Return that exponent as the logarithm value.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Dividing argument by base.