To calculate: The equation for the value of
Answer to Problem 35E
The required real value of
Explanation of Solution
Given Information:
The given equation is
Formula Used:
Product rule of logarithm:
Power rule of logarithm:
Property of logarithms:
If
If
Where
Calculation:
Consider the equation
It is known that the base of natural logarithm is
Rewrite the equation with base
Use product rule of logarithm
Now, use the property of logarithms of the above equation.
Now, use quadratic formula in the above equation
Substitute
Simplify the equation.
It is known that the value of
Substitute
Simplify the above equation.
Simplify the above equation.
Check for extraneous solution:
For
Substitute
Substitute
For
Substitute
It is known as
Thus, at
Hence, the required real values of
Chapter 6 Solutions
Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015
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