#1**0 **

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**

Guest Feb 3, 2022

#2**0 **

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

ElectricPavlov Feb 3, 2022