Hello, I have 7 quick "Natural Logarithm" problems I need the answers to. Please help me out, all help is appreciated! This is very urgent. Write expression as a single logarithm: 1: 3 ln 5 2: ln 24- ln 6 Solve each equation: 3: ln x= -2 4: 1.1 + 1n x^2 = 6 5: ln 4r^2 = 3 Use natural logarithms to solve each equation: 6: ex = 18 7: e^2x = 12 Thank you so much!
Write expression as a single logarithm: 1: 3 ln 5 = ln(5^3) = ln 125 2: ln 24- ln 6 = ln(24/6) = ln 4 Solve each equation: 3: ln x= -2 ... x = e^(-2) 4: 1.1 + 1n x^2 = 6 ... 2ln x = 4.9 ... ln x = 2.45 .... x = e^2.45 5: ln 4r^2 = 3 ... ln 4 + 2 ln r = 3 ... ln r = (3 - ln 4) / 2 .... r = e^[(3 - ln 4) / 2] Use natural logarithms to solve each equation: 6: ex = 18 ... do you mean e^x?? then x = ln 18 7: e^2x = 12 ... 2x = ln 12 .... x = ( ln 12) / 2