Natural logs algebra 2 Solve In x In x 18 In 63 Solve giv

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

11) ln x + ln (x+18) = ln 63

ln [x*(x+18)] = ln 63

x*(x+18)=63

x² + 18x - 63 = 0

(x+21)(x-3)=0

Therefore, x = 3 or -21.

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

ln (5x-10)/10 = ln e²

5x-10 = 10e²

Therefore by putting e= 2.7182, we get x= 2e² + 2 = 16.7772

13) ln x² + ln 9 = 3

9x² = e³

Therefore by putting e= 2.7182, we get x = 1.4937

14) ln 3 - ln (x-5) = 4

ln [3/(x-5)] = ln e⁴

[3/(x-5)]= e⁴

x-5 = 3 / e⁴

Therefore, x = 5.0550