Answer:
log 3(x+4) = log 3 + log (x+4)
Step-by-step explanation:
Because 3(x+4) is a product, log 3(x+4) = log 3 + log (x+4).
The Option (1),(4) and (5) are correct.
Step-by-step explanation:
The function given to us is : y= f(x) =49(1/7)^x
The following statements are true regarding the above function is
- As you can see that the value of y(49)is defined for all values of x , so the Domain is the set of all values of x , which is set of all real numbers.
- X is defined for all values of y. So the Range of all the values that y can take is also set of all real numbers greater than zero, i.e y>0.
- As x increased by 1, each y-value is one seventh of the previous y-value
Answer:
The value of 
is 
.
Step-by-step explanation:
The given equation is
We need to find the value of .
Differentiate with respect to t.
![[\because \frac{d}{dx}x^n=nx^{n-1},\frac{d}{dx}C=0]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cfrac%7Bd%7D%7Bdx%7Dx%5En%3Dnx%5E%7Bn-1%7D%2C%5Cfrac%7Bd%7D%7Bdx%7DC%3D0%5D)
It is given that y=2 and dy/dt=1, substitute these values in the above equation.
Divide both sides by 4x³.
Therefore the value of is .
