Exponential Logarithmic Function

Important Properties of Exponential and Logarithmic Functions

Solving exponential and logarithmic expressions exponentially:

Examples

1.    Find the value of 4x when x= 4.

Solution

4x =44 = 4 x 4 x 4 x 4=256

2.    If it is given that log212 = 23.585, then 12= 2k and k=?

Solution

k = 3.585 becauselog212 = 23.585. Therefore, using the property of exponents 12=23.585 comparing it with 12=2k , k=3.585.

Try this problem

1.    Log464 = ?

Answer:

Let Log464 = a
Then 64 = = 43
Hence a=3.