For all problems write the problem and then delineate the

Question

For all problems, write the problem and then delineate the step-by-step process necessary to solve the problems.

Solve each logarithmic equation-

1. ln(3x+1) - ln(5+x) = ln2

2. 2ln(x-3) = ln(x+5) + ln4

3. Log x - Log(x+4) = -1

4. Log₃(y+2) = Log₃(y-7) + Log₃4

5. Log x + log(x-9) = 1

Solve these exponential equations without using logarithms-

6.  2^x-1 = 8

Use Logarithms to solve these exponential equations-

7. e^3x = 6 

Solve these equations-

8. log₃(a-3) = 1 + log₃(a+1)  

9. log₂√2y² -1 + 3/2

10. 2^{x2 -1} = 10