ffortunyu
2021-11-19
Keith Dooley
Beginner2021-11-20Added 14 answers
Step 1: Given
To solve:For x
Step 2: Solution
Since the bases are the same, the exponents must be equal.
(x-4)(x+1)=0
x-4=0, x+1=0
x=-1,4
Poul1963
Beginner2021-11-21Added 15 answers
Calculation:
The given exponential equation is .
Use above mention method and solve the equation as follows.
The formula can be changed to read as
Thus, the new equivalent equation becomes .
Since the bases of the aforementioned equation are equal, set the exponents on both sides to the same value and solve for x as shown below.
Simplified futher as,
x(x-4)x+1(x-4)=0
(x-4)(x+1)=0
x-4=0 or x+1=0
x=4 or x=-1
Thus, the solution set of the equation is {-1,4}.
In the equation, x=-1 and x=4 can be substituted to confirm the solutions that were found..
Substitute x=-1 into .
[True statement]
Similarly, substitute x=4 into .
[True statement]
As a result, the equation's solution set is {-1,4}.
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