Use natural logarithms to solve each equation Round your ans

Use natural logarithms to solve each equation. Round your answer to the nearest hundredth. e^x = 15 4e^x = 10 e^x - 2= 50 4e^3(x - 1) = 5 e^x - 4 = 2 5e^6x + 3 = 0.1 e^x = 1 e^x/5 = 32 3e^3x - 5 = 49 7e^5x + 8 = 0.23 6 - e^12x = 5.2 e^x/5 = 25 e^2x = 25 e^In 5x = 20 eIn x = 21 e^x + 6 + 5 =1

Solution

Answer 28: 2.708 (As explained below)

e^x = 15

ln(e^x) = ln(15)

x.ln(e) = ln(15)

x = ln(15) = 2.708

Answer 29: 0.9163 (As explained below)

4e^x = 10

ln(e^x) = ln(10/4)

x.ln(e) = ln(2.5)

x = ln(2.5) = 0.9163

Answer 30: 5.912 (As explained below)

e^x-2 = 50

ln(e^x-2) = ln(50)

(x-2).ln(e) = ln(50)

x = ln(50) + 2 = 3.912 + 2 = 5.912

Answer 31: 1.007438 (As explained below)

4e^3(x-1) = 5

ln(e^3(x-1)) = ln(5/4)

3(x-1).ln(e) = ln(1.25)

3(x-1) = ln(1.25) = 0.22314

x - 1 = .007438

x = 1.007438