<h2>
The required "option A) " is correct.</h2>
Step-by-step explanation:
We have,
To find, the value of = ?
∴ , where a, b and x are positive
a ≠ 1 and b ≠ 1
We know that,
The logarithm identity,
∴ =
Where, b is the common base of logarithm
∴ The value of =
Thus, the required option A) is correct.
Answer:
-18 b^-4= -18/b^4
Step-by-step explanation:
-3b^4(6b^-8)
Combine coefficients
-3*6 = -18
Combine exponents since the bases are the same, x^y * x^z = x^(x+z)
b^4 *b^ -8
b^(4+-8)
b^ -4
Put back together
-18 b^-4
We also know that x^-y = 1/x^y
-18/b^4
Add 26 to -53 then theres your answer q= -27
To obtain the slope of the tangent line to f(x) at x=2, we need to find f'(x) as shown below
Then, the slope of the tangent line we are looking for is
Remember that the slope of a line can be interpreted as shown below
Therefore, we can estimate the value of f(x) using the slope and f(2).
a) x=2.4
And the estimation using f(2) and f'(2) is
Then, the exact value at x=2.4 is f(2.4)=3.96, and the approximated value is 3.8
We need to repeat these steps with the remaining options.
b) x=2.5
c) x=2.6
d) x=2.7
Then, the answer is option d. x=2.7
e) x=2.8