(2e^8.7n+1)-1= 25

Question

2e^8.7n+1-1= 45 

 

Please help.  I do not understand how to solve. 

 

TY 

Answer 1

2e^(8.7n+1)-1=45

2e^(8.7n+1)=46

e^(8.7n+1)=23

ln(23)=8.7n+1

3.135494=8.7n+1

3.135494-1=8.7n

2.135494=8.7n

2.135494/8.7=n

0.245459=n

 

2e^(8.7n+1)-1=25

2e^(8.7n+1)=26

e^(8.7n+1)=13

ln(13)=8.7n+1

2.564949=8.7n+1

2.564949-1=8.7n

1.564949=8.7n

1.564949/8.7=n

n=0.179879

Answer 2

2e^{8.7n + 1} - 1 = 45

2e^{8.7n + 1} = 46

e^8.7n+1 = 23

ln e^8.7n+1 = ln 23

8.7n + 1 ln e = ln 23

8.7n + 1 = ln 23

8.7n + 1 ≈ 3.14

8.7n ≈ 2.14

n ≈ 0.0246