PLEASE HELP ME!!! (20 POINTS im giving it away in a smaller amount because im becoming poor from giving them away)
2 answers:
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f(x) =
- 2
y =
- 2
This is the original equation, and now we have to find the inverse.
When finding the inverse, just flip the variables, x as y and y as x
f ⁻¹(x)
↓
x =
- 2
We have to isolate y as it is our f ⁻¹(x)
Take 2 to the other side { When you see subtraction, you do addition }
x + 2 =
Take 9 to the other side { When you see division, you do multiplication }
9 ( x + 2 ) = y
9x + 18 = y
f ⁻¹ (x) = 9x + 18
f(x) =
y =
This is the original equation, and now we have to find the inverse.
When finding the inverse, just flip the variables, x as y and y as x
f ⁻¹(x)
↓
x =
We have to isolate y as it is our f ⁻¹(x)
Take 2 to the other side { When you see subtraction, you do addition }
x + 2 =
Take 9 to the other side { When you see division, you do multiplication }
9 ( x + 2 ) = y
9x + 18 = y
f ⁻¹ (x) = 9x + 18
Given:
The equation is:
To find:
The logarithmic equation that is equivalent to the given exponential equation.
Solution:
According to the property of logarithm:
We have,
Here, . By using the above property of logarithm, we get
Therefore, the correct option is C.