In a test the student had to find the value of "x" in the expression. 42x+ 7 = 2x +7 to qualify for the second level. For what value of x that he determines will he qualify for level 2?
Answers
Answer:
The value of x in the expression is - 4.
Step-by-step explanation:
Given, 4^{(2x + 7)} = 2^{(x+2)}4
(2x+7)
=2
(x+2)
=> 2^{2(2x +7)} =2^{(x+2)}2
2(2x+7)
=2
(x+2)
=> 2^{(4x +14)} = 2^{(x+2)}2
(4x+14)
=2
(x+2)
Base of of the exponents are 2. So, the powers are equal.
=> 4x + 14 = x + 2
=> 4x - x = 2 - 14 = - 12
=> 3x = - 12
=> x = \frac{-12}{3}
3
−12
= - 4
If the student had qualified for level 2 then the student would have found the correct value of x.
The correct value of x is - 4.
Hence, the value of x in the expression is - 4.
Answer:
The student will be qualified to go to level 2 if he gets the value of x = 0
Step-by-step explanation:
Given,
Expression is 42x+ 7 = 2x +7
To find,
The value of 'x'
Solution:
The student qualifies to go level to level 2 if he find the value of 'x' correctly
We have the expression,
42x+ 7 = 2x +7
Subtracting 7 on both sides we get
42x = 2x
Subtracting 2x on both sides
42x - 2x = 0
40x = 0
This is possible only when the value of x = 0
The correct value of x = 0
Hence the student will be qualified to go to level 2 if he gets the value of x = 0
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