Solve the following equations Remember that the arguments of

Solve the following equations: Remember that the arguments of all logarithms must be greater than 0. Also exponentials in the form of a will be greater than 0. Be sure to check all your answers in the original equation. 23. 1083 x = s 241084 x = 3 25. 1082 2x 1082 100 26. In(x +4)-In 7 27. log(2x + 1) = 2 28, logs(x-10) . 2 29.3,, 500 30.8\" = 1000 31. In x = 7.25 32.1 0.5 33. 2ex45 34.100e20 35. 12(1-4) 18 10. Ir(x+ 2)2-6 11.4-3x = 0.25 13, log, 3 + log, x = log, 32 14. 2 logs 4x 15.ef;\"tireden3)=2 tysX3x.4 37, log 2x = 1.5 38, log2 2x =-0.65 39. log2 x + 5 = 7 40, 4 logs (x + 1)a 4.8 41. log2 x +log2 3 3 42.2 log x - log4(x -1)-1 16. log2G,TA-1082 (x-2) = 3 aa, t U 17.4 ln(2x +3) = 11 15 19. 2 64 20.5,: 25 12, bir

Solution

1. 3^x-1=81

3^x-1=3⁴

x-1=4

x=5

2. 8^x=4

2^3x = 2²

3x=2

x=2/3

3.e^x=5

x= ln 5

4. -14+3e^x=11

3e^x=25

e^x=25/3

x=ln(25/3)

5. -6 +ln(3x)=0

ln(3x)= 6

3x= ln 6

x=(1/3)ln 6