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Solve the following equations for x.

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2 Answers

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
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 √