(a)
To find: Whether the given value of x is a solution of the equation or not.
(a)
Answer to Problem 5E
The x -value,
Explanation of Solution
Given information:
The equation
Formula used:
Substitute the provided value of the variable in the function to check whether left hand side of the equation is equal to right hand side of the equation.
The inverse property of logarithmic function that is
Calculation:
Consider the provided equation
Substitute x as 1021 in the left hand side of the above equation,
Recall the inverse property of logarithmic function that is
Apply it,
Simplify it further as,
The above equation is true.
Therefore,
Hence, the x -value,
(b)
To find: Whether the given value of x is a solution of the equation or not.
(b)
Answer to Problem 5E
The x -value,
Explanation of Solution
Given information:
The equation
Formula used:
Substitute the provided value of the variable in the function to check whether left hand side of the equation is equal to right hand side of the equation.
Base change formula for logarithmic function
Calculation:
Consider the provided equation
Substitute x as 17 in the left hand side of the above equation,
Recall the formula of change base
Apply it,
Simplify it further as,
The above equation is false as
Therefore,
Hence, the x -value,
(c)
To find: Whether the given value of x is a solution of the equation or not.
(c)
Answer to Problem 5E
The x -value,
Explanation of Solution
Given information:
The equation
Formula used:
Substitute the provided value of the variable in the function to check whether left hand side of the equation is equal to right hand side of the equation.
Calculation:
Consider the provided equation
Substitute x as
Recall the formula of base change of logarithmic functions
Apply it,
The above equation is false as
Therefore,
Hence, the x -value,
Chapter 3 Solutions
EBK PRECALCULUS W/LIMITS
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