How do I get the value of x?

Solve for x:
2.9 x 1.72727^x = 5.7

2.9 x 1.72727^x = 29/10 (19/11)^x and 5.7 = 57/10:
29/10 (19/11)^x = 57/10

Multiply both sides by 10/29:
(19/11)^x = 57/29

Take the logarithm base 19/11 of both sides:

 x = log(57/29)/log(19/11)==~1.23642

Start by dividing both sides by 2.9

 

1.9^x / 1.1^x   = 1.9655    Now take the x root of both sides

1.9 / 1.1   = 1.9655^1/x    Now LOG both sides

.237361 = 1/x (.29347)

x = 1.2364