24 Find exact val ue of t by solving the following equation

24. Find exact val ue of t by solving the following equation: 25 32-5 25. Solve for i. Write your answer in interval notation. t- 1 2 t + 2 26. Divide. Write your answer in standard form. 3-2i 2i-1

Solution

24. 25^t=3^2t-5

Taking log on both sides

log 25^t= log 3^2t-5

t log2 5 = (2t-5) log 3

5log 3= t(2 log 3-log 25)

t= 5log 3/(2log 3- 2 log 5)