Log base 4 64 without using a calculator

1. Nov 11, 2004

sarahowen

i dont understand how to find the exact answer to log base 4 64 without using a calculator. can anyone help?my teacher gave examples but they are on bad photocopies
sarah

2. Nov 11, 2004

Muzza

log_4(64) is the number x such that 4^x = 64. Have you tried to guess the solution?

3. Nov 11, 2004

DeathKnight

Hes right.
$$log_4 64 = log_4 4^3 = 3log_4 4 = 3(1) = 3$$

4. Nov 12, 2004

sarahowen

thanks guys i totally get itnow and idont feel too stuupid anymore!!