Question

evaluate without using the log table log of 64 to the base 2​

Answer 1

Answer:

Log base 2, also known as binary logarithm which is the inverse function of the power of two functions. The general logarithm states that for every real number n, can be expressed in exponential form as

n = ax

Here, ‘ a ‘ is a positive real number called as a base and ‘ x ‘ is an exponent, the logarithm form is written as

Loga n = x

Log base 2 is the power to which the number 2 must be raised to obtain the value of n. For any real number x, log base 2 functions are written as

x = log2 n

Which is equal to

2x = n

Note that the logarithm of base 0 does not exist and logarithms of negative values are not defined in the real number system.

The formula for Change of Base

The logarithm is in the form of log base 10 or log base e or any other bases. Here is a formula to calculate logarithms to base 2 or log base 2. The formula is stated by

log2x=log10xlog102

Since the general formula for change of base is given by

logax=logbxlogba

To find the value of log base 2, first, convert it into common logarithmic functions, i.e. log base 10 or log10 by using the change of base formula.

Step-by-step explanation: