Given:
The logarithmic expression is:
To find:
The equivalent expression of given expression by using change-of-base formula.
Solution:
The change-of-base formula is:
The given expression is:
Using the change-of-base formula, we get
Where, is a constant and c>0.
Let 
, then
Therefore, the correct option is a.
Answer:
i) True
ii) True
Step-by-step explanation:
<u>Given :-</u>
Point (-1, 2)
<u>To Find :</u>
Whether the point is a solution of :
- y = -2x
- y = x + 3
<u>Solving :-</u>
Substitute the value of the point in each of the equations.
=> y = -2x
=> 2 = -2(-1)
=> 2 = 2 [∴ The point makes it true]
=> y = x + 3
=> 2 = -1 + 3
=> 2 = 2 [∴ The point makes it true]
Answer:
x>±4
x<±1
Step-by-step explanation:
Given the inequalities
x² > 16
Square root both sides
√x² > ±√16
x > ±4
The solution is x>±4
2) x² < 1
Square root both sides
√x² <±√1
x < ±1
Hence the solution is x<±1
Answer:
All real values of x where x < −1.
Step-by-step explanation:
There is a turning point at x= 1 and f(x) = -4 and it open upwards.
So it decreases for all real values of x where x < 1. But it passes through the point (-1, 0) after which the values of the function become negative.
So the answer is all real values where x < -1.
