What is the solution to the equation e^3x=12 Round your answer to the nearest hundredth
2 answers:
Keywords:
<em>equation, variable, clear, round, centesima, neperian logarithm, exponential </em>
For this case we have the following equation , from which we must clear the value of the variable "x" and round to the nearest hundredth. To do this, we must apply properties of neperian and exponential logarithms. By definition:
So:
We apply Neperian logarithm to both sides:
We divide between "3" both sides of the equation:
Rounding out the nearest hundredth we have:
Answer:
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Answer:
a) If both gyms sold 80 total memberships, Gym A sold 12 more gold membership.
Step-by-step explanation:
Here is the complete question: 40% of the memberships sold by Gym A were gold memberships. 25% of the memberships sold by Gym B were gold memberships.
Which statement must be true?
a) If both gyms sold 80 total memberships, Gym A sold 12 more gold membership.
b) If both gyms sold the same number of memberships, Gym A sold 15 more gold membership.
c) Gym A sold more gold membership than Gym A did.
d) If Gym B sold 50 membership, 25 would be gold memberships.
Given: Gym A have sold 40% gold membership of total membership.
Gym B have sold 25% gold membership of total membership.
Lets take option A first to find if it is true statement.
As per option A, There are total number of membership is 80.
∵ Gym A has sold 40% gold membership.
∴ Gym A gold membership=
⇒ Gym A gold membership=
∴ Gym A gold membership= 32.
Now, Gym B
∵ Gym B has sold 25% gold membership.
∴ Gym B gold membership=
⇒ Gym B gold membership=
∴ Gym B gold membership= 20.
Next finding difference gold membership for Gym A and Gym B
Hence, we can say option A is correct as Gym A have sold 12 more gold membership, if total number of membership sold by both Gym is 80.
Answer:
a) (0, ∞)
b) (-∞, ∞)
c) x = 0
Step-by-step explanation:
It helps to have some idea what the log function is.
__
a) The domain is all positive numbers: (0, ∞).
b) The range is all real numbers: (-∞, ∞). (The vertical translation downward by 5 units does not change that.)
c) There is a vertical asymptote where the argument of the log function is zero: at x=0.
