The solution of x for the equation (√7)ˣ = 49ˣ⁻⁶ is,
⇒ x = 8
We have to given that,
An expression to simplify,
⇒ (√7)ˣ = 49ˣ⁻⁶
Now, We can simplify the expression for x as,
⇒ (√7)ˣ = 49ˣ⁻⁶
Since, 49 = 7² = (√7)⁴
Hence,
⇒ (√7)ˣ = (√7)⁴)ˣ⁻⁶
Apply the multiply rule in exponent,
⇒ (√7)ˣ = (√7)⁴ˣ⁻²⁴
By comparing,
⇒ x = 4x - 24
Solve for x,
⇒ x - 4x = - 24
⇒ - 3x = - 24
⇒ 3x = 24
⇒ x = 24 / 3
⇒ x = 8
Therefore, The solution of x for the equation (√7)ˣ = 49ˣ⁻⁶ is,
⇒ x = 8
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Solve
4(x – 7)2 – (x – 7) + 3
(4x2 – x + 3) – 7
(4x2 – x + 3)(x – 7)
Answer:
D is the correct option.
Step-by-step explanation:
We have been given that
We have to find
which means we have to find the product of these two expressions.
We can rewrite as
Therefore, we have
Hence, the equivalent expression is
D is the correct option.
25x2 − 16
25x2 + 16
25x2 − 40x + 16
Answer:
25x^2 + 40x + 16
Step-by-step explanation:
(5x + 4)^2
= (5x + 4)*(5x + 4)
= 25x^2 + 20x + 20x + 16
= 25x^2 + 40x + 16
The answer is, in fact, A. I took the test and the answer was correct.