Question

In a test the student had to find the value of x in the expression, 4^(2x+7)=2^(x+2) to qualify for the second level for what value of x that he determinws will he qualify for level 2

Answer 1

The value of x in the expression is - 4.

Step-by-step explanation:

Given, $4^{(2x + 7)} = 2^{(x+2)}$

=> $2^{2(2x +7)} =2^{(x+2)}$

=> $2^{(4x +14)} = 2^{(x+2)}$

Base of of the exponents are 2. So, the powers are equal.

=> 4x + 14 = x + 2

=> 4x - x = 2 - 14 = - 12

=> 3x = - 12

=> x = $\frac{-12}{3}$ = - 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 2

Step-by-step explanation:

pls answers my question ❓