Solution Found!
Suppose that log4 x = y where x is a positive real number.
Chapter 8, Problem 3E(choose chapter or problem)
Problem 3E
Suppose that log4 x = y where x is a positive real number. Find each of the following quantities.
a) log2x
b) log8x
c) log16 x
Questions & Answers
QUESTION:
Problem 3E
Suppose that log4 x = y where x is a positive real number. Find each of the following quantities.
a) log2x
b) log8x
c) log16 x
ANSWER:
Solution:
Step 1:
In this problem we need to find the values of .
FORMULAS: Let a be a real number greater than 1 . Then,
Let a and b be real numbers greater than 1 , and let x be a positive real number .Then,
3. 4. 5. |
Given : where x is a positive real number.
, since from formula (4).
…………….(1)
- In this problem we need to find the value of
From(1) , it is clear that
Therefore , .