Solve the problem

Question

ln(3t + 2) = ln 4 + ln(t − 2)

Answer 1

ln(3t + 2) = ln[4(t - 2)]

 

Take e⁽⁾ of sides.

 

3t + 2 = 4(t - 2)

 

You should now be able to solve for t and finish from here.

Answer 2

ln(3t+2)=ln(4)+ln(t-2)

ln(3t+2)=ln(4[t-2])

ln(3t+2)=ln(4t-8)

3t+2=4t-8

2+8=4t-3t

10=t

ln(32)=ln(4)+ln(8)

ln(32)=ln(4*8)

ln(32)=ln(32)