12) ln 9+lm 2-----write as a single Log
16) ln a-2 ln b +1/3ln c
24) ln x-1/2=4
32) e x/2=5 use natural logirithms to solve
12) ln 9 + ln 2 --> ln(9*2) = ln(18).
16) ln(a) - 2 ln b + 1/3 ln c --> ln(a) - ln(b^2) + ln(c^1/3) --> ln (a/(b^2)*c^1(/3)).
24) ln(x-1) / 2 = 4 --> ln(x-1) = 8 --> e^(ln(x-1)) = e^8 --> x - 1 = e^8 --> x = e^8 + 1 = 2981.9579870417282747.
32) e^(x) / 2 = 5 --> e^x = 10 --> ln(e^x) = ln(10) --> x = ln(10) = 2.3025850929940457.
12) ln 9 + ln 2 --> ln(9*2) = ln(18).
16) ln(a) - 2 ln b + 1/3 ln c --> ln(a) - ln(b^2) + ln(c^1/3) --> ln (a/(b^2)*c^1(/3)).
24) ln(x-1) / 2 = 4 --> ln(x-1) = 8 --> e^(ln(x-1)) = e^8 --> x - 1 = e^8 --> x = e^8 + 1 = 2981.9579870417282747.
32) e^(x) / 2 = 5 --> e^x = 10 --> ln(e^x) = ln(10) --> x = ln(10) = 2.3025850929940457.