Solve the following equations for x.

Question

2(10)^(6x+8)=18

Answer 1

Natural Log Method

 

2(10)^(6x+8)=18

 

10^(6x+8)=9

 

Ln[10^(6x+8)]=Ln(9)

 

(6x+8)Ln(10)=Ln(9)

 

6x+8= Ln(9) / Ln(10)

 

6x = Ln(9) / Ln(10) - 8

 

x= [Ln(9) / Ln(10) - 8] / 6

 

X= -1.17429

Answer 2

Steve has the right solution. I misread the problem.

 

Answer 3

2(10)^(6x+8)=18

 

(10)^(6x+8)=9

 

6x+8=log(9)

 

x=(log(9)-8)/6

 

x≈-1.17429291509345

 

check:

 

2(10)^(6(-1.17429291509345)+8)=?18

 

2(10)^(0.9542425094393)=?18

 

17.99999999999897 ≈ 18 √