Exponential and Logarithmic Functions

Main Topic: Exponential and Logarithmic Functions   

Subtopic: Convert expressions from exponential notation to logarithmic notation and vice versa

What is the result after converting the logarithmic expression   into exponential form?

A: x2 = 28 - Correct option

B: x2 = 108

C: (x2)8 = 2

D: x2 = 82

Answer: A

Rationale

If loga b = c, its exponential form is written as b = ac.

Applying this to the original problem   , the exponential form becomes x2 = 28

Therefore the required answer is: x2 = 28

Answer option B is incorrect. Base of logarithmic function is 2, not 10.

Answer option C is incorrect. Recall conversion of logarithmic function into exponential function as, the exponential form of logab = c is b = ac.

Answer option D is incorrect. Base of logarithmic function is 2, not 8.