Question

Please help..
Solve for t: 3(2^t)=11
Solve for x: e^2x= 8
Solve for x: ln(5x-1)= 6

Answer 1

To learn how to solve log equations, try here:

Solving Logarithmic Equations
http://www.purplemath.com/modules/solvelog.htm

To learn how to solve exponential equations, try here:

Solving Exponential Equations
http://www.purplemath.com/modules/solvexpo.htm

Answer 2

3(2^t)=11
2^t=11/3
t=log_2(11/3) (that's log base 2)

e^(2x)= 8
2x=ln(8)
x=(1/2)ln(8)

ln(5x-1)= 6
5x-1=e^6
5x=1+e^6
x=(1/5)(1+e^6)