
To calculate: .The equation for the value of

Answer to Problem 34E
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
Use product rule of logarithm
Now, use the property of logarithms of the above equation.
Simplify the equation.
Simplify the above equation.
Now, use quadratic formula in the above equation
Substitute
Simplify the equation.
Simplify the equation.
Check for extraneous solution:
For
Substitute
Simplify the equation.
Use product rule of logarithm
Simplify the equation.
Use power rule of logarithm
Substitute
For
Substitute
Simplify the equation.
It is known that
Thus, at
Hence, the required real value of
Chapter 6 Solutions
BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015
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