Question

Logarithms:

Answer 1

Answer:

• A) k = 18.75
• B) R(0.8) = 161419
• C) R(0.3) = 275

Step-by-step explanation:

Given expression

• R(x) = 6*e^(kx)

A) Given

• x = 0.04
• R = 10

Solving for k

• 10 = 6*e^(0.04k)
• e^(0.04k) = 10/6
• ln (e^0.04k) = ln (1.6666)
• 0.04k = 0.51
• k = 0.51/0.04
• k = 12.75

B) Given

• x = 0.8
• R= ?

The value of R(0.8) is:

• R(0.8) =
• 6*e^(0.8*12.75) =
• 6*e^(10.2) =

• 161419  rounded

C) Given

• x = 0.3
• R = ?

The value of R(0.3) is:

• R(0.3) =
• 6*e^(0.3*12.75) =
• 6*e^(3.825) =

• 275 rounded