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Exponential and Logarithmic Functions

Solving exponential and logarithmic expressions exponentially:


1.	Find the value of 4^x when x= 4.

	Solution

	4^x =4⁴ = 4 x 4 x 4 x 4=256

2.	If it is given that log₂12 = 2^3.585, then 12= 2^k and k=?

	Solution

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

Try this problem

1.	Log₄64 = ?

	Answer:

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