Math

posted by .

How do I solve 3log10of(x-6)=11 and e^(2x)+10e^(x)-25=0?

  • Math -

    3log10of(x-6)=11
    log 10 (x-6)^3 = 11
    (x-6)^3 = 10^11
    x-6 = 10^(11/3)
    x = 10^(11/3) + 6

    for the second, let e^x = a
    then we have
    a^2 + 10a - 25 = 0
    (a-5)^2 = 0
    a = +- 5
    e^x = 5 or e^x = -5 (the second has no solution)
    x = ln5

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    How do I solve e^(2x)+10e^(x)-75=0 and 3^(x+2)=7^(x-5)?
  2. Astronomy

    The hottest stars have surface temperatures of about 40,000 K. At what wavelength do they emit the most radiation?
  3. Chemisdtry - Lewis Structures (check + help)

    Draw Lewis structures for each of the following ion: CO3 (2-) I tried this method below, i do not know where am i going wrong, please help me understand this concept for ions. Valence Electrons 4e- + 18e- = 22e- Noble gas Config 8e- …
  4. Math(Please, please help)

    1/[N2O] = 1/(1.75M) + (1.10E-3M^-1 S^-1)(1852s) [N2O] = 0.383 M I know I posted a similar question but I am having trouble with this one as well. Should I do 1/1.75 first and then add 1.10e-3 and then multiply by 1852?
  5. Math(Thank you for your help)

    1/[N2O] = 1/(1.75M) + (1.10E-3M^-1 S^-1)(1852s) [N2O] = 0.383 M I know I posted a similar question but I am having trouble with this one as well. Should I do 1/1.75 first and then add 1.10e-3 and then multiply by 1852?
  6. Chemistry

    1/[N2O] = 1/(1.75M) + (1.10E-3M^-1 S^-1)(1852s) [N2O] = 0.383 M I know I posted a similar question but I am having trouble with this one as well. Should I do 1/1.75 first and then add 1.10e-3 and then multiply by 1852?
  7. Math(Please respond)

    .50 - x / x = 3.20e-1 I need to solve for x. I was going to do .50 X 3.20e-1 and then take the square root but this is not correct. I am not sure what to do. Thank you for your help. Math(Please help) - Reiny, Tuesday, April 17, 2012 …
  8. Chemistry(Please check)

    .50 - x / x = 3.20e-1 I need to solve for x. I was going to do .50 X 3.20e-1 and then take the square root but this is not correct. I am not sure what to do. Thank you for your help. Math(Please help) - Reiny, Tuesday, April 17, 2012 …
  9. Chemistry

    .50 - x / x = 3.20e-1 I need to solve for x. I was going to do .50 X 3.20e-1 and then take the square root but this is not correct. I am not sure what to do. Thank you for your help. Math(Please help) - Reiny, Tuesday, April 17, 2012 …
  10. Math

    Solve for t using natural logarithms. 7e^3t = 10e^2t

More Similar Questions