Answer:
x = log 10/log 3
Step-by-step explanation:
3^x - 4 = 6
3^x = 10
We take log base 3 of both sides since log_3 3^x is simply x.
log_3 3^x = log_3 10
x = log_3 10
We have an answer for x, but it is a log base 3. We want log base 10.
Now we use the change of base formula.
log_b y = log y/log b
x = log 10/log 3
Caleb is participating in a walk-a-thon. His goal is to walk as far as possible over an 8-hour period.
For the first 3 hours, he keeps a steady pace of 2 miles per hour.
He then stops walking while he takes a 1-hour break for lunch.
It's too short. Write at least 20 characters to explain it well.