solve the folowing equations for x round nonexact answers to

solve the folowing equations for x. round non-exact answers to three decimal places.

5(1.031)^x =8

3 x 2^x + 8 = 25

e^x+4 =10

10 e^3x - e = 2e^3x

3log (2x+6) =6

2ln (3x) +5 =9

5(1.031)^x = 8

dividing both sides by 5

(1.031)^x = 8/5

taking ln on both sides

x * ln (1.031) = ln (8/5)

x = ln (8/5) / ln (1.031) = 15.40

2) 3x 2^x + 8 = 25

subtracting 8 from both sides

3x 2^x = 25 - 8 = 17

dividing both sides by 3

2^x = 17/3

taking ln on both sides

x ln 2 = ln ( 17/3)

x = ln (17/3) / ln 2 = 2.50

3) e^x + 4 = 10

subtracting 4 on both sides

e^x = 6

x ln e = ln 6

x = ln 6 = 1.79