Question

Solve the inequality for x 8^x>24

Answer 1

Answer:

Step-by-step explanation:

Remark

I hope you have some idea how to make your calculator use logs. This problem is impossible without being able to take the log of each side.

Solution

log(8)^x > log 24        Logs lets you bring down x and multiply it by log24

x log 8 > log 24         Be careful what you do next. Don't use log 3

x > log(24)/log(8)

x > 1.3802/0.9031

x>1.5284

As wrong as this may look, it is correct.

Check it

8^1.5284 = 24.00395

The difference is that 1.5284 has been rounded just a slight bit.