SOLUTION: Solve the following exponential or logarithmic equation (Show all work) 1.2e^-5x + 2.6 = 3

Question 734196: Solve the following exponential or logarithmic equation (Show all work)
1.2e^-5x + 2.6 = 3
Answer by vidya pattar(14) (Show Source): You can put this solution on YOUR website!
Hello,
1.2 e^(-5x) + 2.6 = 3
first try to get rid of 2.6 from the left side,
subtract 2.6 from the left side ,
1.2 e^(-5x) = 3 - 2.6
1.2 e^(-5x) = 0.4
now divide 1.2 on both sides
e^(-5x) = 0.4 / 1.2
e^(-5x) = 1/3
take log on both sides , we have
-5x = log ( 1/3)
-5x = -0.4771
now divide by -5 on both sides, we get :
x = 0.0954
Thanks & best Regards
Vidya P
RELATED QUESTIONS
10. Solve the logarithmic equation. Please show all of your work. 2 log2(x-1)=6 (answered by nerdybill)

Solve the logarithmic or exponential equation. 1.(525)/(1+e^-x)=275 2.ln(x +1) − (answered by solver91311)

Solve the following equation. Show all work.... (answered by Edwin McCravy)

solve the following logarithmic equation. log(4x+7)=1+log(x-6) x=? please... (answered by lwsshak3)

Please show work. Write the following in logarithmic form:... (answered by Fombitz,MathTherapy)

Solve the logarithmic equation. Please show all of your work.... (answered by josmiceli)

Solve the following equation. Please show all of your work.... (answered by rfer)

Solve the following logarithmic equation. Check all solutions.... (answered by Fombitz)

Solve the following logarithmic equation. log(base 2)x+16+log(base 2)x+10=4. Show all... (answered by lwsshak3)