The answer would be 2. This is because inverse means opposite, and since f(x)=-2, then that means the inverse would be 2.
Well, I do not know if you mean 93x = 7 or 9^3x = 7.
So, I will provide the solution for both cases.
In case of 93x = 7:
This case is simple, all you have to do is isolate the x. You need to get rid of the coefficient which is 93. You can simply do this by dividing both sides of the equation by 93 as follows:
93x = 7
93x / 93 = 7/93
x = 7/93
In case of 9^3x = 7:
Now, we need to get rid of the power. The only function that can do this is the log function.
So, we will start by taking log base 10 for both sides of the equation as follows:
9^3x = 7
log(9^3x) = log(7)
This will give:
3x * log(9) = log(7)
Now, the final step is to isolate the x as we did before. To do this, we will need to get rid of 3log(9). This can be done by dividing both sides of the equation by 3log(9) as follows:
3x * log(9) / 3log(9) = log(7) / 3log(9)
This will give us:
x = log(7) / 3log(9) = 0.2952
Hope this helps :)
Answer:
Step-by-step explanation:
Answer: For the numerator, we know we have to have a positive number in the expression for ln. Therefore, 0">x−2>0, which means 2">x>2. Combining these, we get the domain of the function is all positive values for x which are greater than 2. In interval notation, this is simply (2,∞).
Step-by-step explanation:
9514 1404 393
Answer:
w = -2 or 8 1/3
Step-by-step explanation:
Setting the two expressions equal makes a quadratic equation:
-5 +0.6w = w(2.5 -0.3w)
0.3w^2 -1.9w -5 = 0 . . . . . . subtract the right-side expression
3w^2 -19s -50 = 0 . . . . . . . multiply by 10 to give integer coefficients
(3w -25)(w +2) = 0 . . . . . . . factor
We can use the zero product rule to find the solutions. The product will be zero only if a factor is zero.
3w -25 = 0 ⇒ w = 25/3 = 8 1/3
w +2 = 0 ⇒ w = -2
The values of w that make the two expressions equivalent are -2 and 8 1/3.
