Solve In x In x18 In 63 Solve giving exact solution In5x10

Solve In x+ In (x+18) = In 63 Solve giving exact solution In(5x-10)- In 10=2 Solve then round your answers to the nearest thousandth In x^2+ In 9=3 Solve then round your answers to the nearest thousandth In 3- In (x-5)=4

Solution

12. in (5x - 10) - in 10 = 2

ln ((5x - 10)/10) = 2

(5x - 10)/10 = e²

5x - 10 = 10e²

5x = 10e² + 10

5x = 10(e² + 1)

x = (10((e² + 1))/5

x = 2(e² + 1)

13. in x² + in 9 = 3

in (x²/9) = 3

x²/9 = e³

x/3 = e^3/2

x= 3e^3/2

14. in 3 - in(x -5) = 4

in (3/(x - 5)) = 4

3/(x - 5) = e⁴

e⁴(x - 5) = 3

xe⁴ - 5e^{4 = 3}

xe⁴ = 3 + 5e⁴

x = 3/e⁴ + 5