The value of log base 4 64 without using a calculator is 3, since 4 to the power of 3 equals 64.
To find the value of log base 4 64 without using a calculator, you can use the basic rule of logarithms which states that log base b of x is equal to y if b to the power of y equals x. In this case, 4 to the power of 3 equals 64, so log base 4 64 is equal to 3.
The equation for finding log base 4 64 without using a calculator is log4(64) = 3. This means that 4 to the power of 3 equals 64.
Yes, you can use a different base to find log base 4 64 without using a calculator. The general formula for changing the base of a logarithm is loga(x) = logb(x)/logb(a). So, for log base 4 64, you can use any base as long as you divide the logarithm of 64 by the logarithm of 4.
It is important to know how to find log base 4 64 without using a calculator because logarithms are used in many scientific and mathematical fields, such as engineering, physics, and statistics. Being able to calculate logarithms without a calculator allows for a better understanding and utilization of these concepts in problem-solving.