Algebra 2

posted by .

Find the solution of the exponential form in terms of logarithms

2^(2x+13) = 3^(x-45)

  • Algebra 2 -

    (2x+13) log 2 = (x -45) log 3
    2x(log2 + 13log2 = x(log3) - 45log3
    2x(log2) - x(log3) = -45log3 - 13log2
    x(2log2 - log3) = -45log3 - 13log2
    x = (-45log3 - 13log2)/(2log2 - log3)
    x = -203.17

  • Algebra 2 -

    4e^x=91

  • Algebra 2 -

    2lnx-2+lny+.25lny

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra-please check my answers

    Solve the equation by expressing each side as a power of the same base and then equating exponents. 9^(x - 9)/8= sqrt of 9 i got 13 4^(x + 10) = 8^(x - 6) i got 38 Solve the exponential equation. Express the solution set in terms of …
  2. exponential equation-Algebra

    Solve the exponential equation. Express the solution set in terms of natural logarithms. 4^(x + 4) = 5^(2x + 5)-This question I don't understand.
  3. college algebra

    I need to find out the solution in terms of natural logarithms for this 10^x=2.5
  4. college algebra

    I need to find out the solution in terms of natural logarithms for this 10^x=2.5
  5. calculus

    solve the exponential equation. Express the solution in terms of natural logarithms. e^x=9.2 a. whats the solution in terms of natural logarithms?
  6. Maths

    For logarithms, if asked to write in simplest form, is it better to write the argument in radical form or exponential form.
  7. college algebra

    Solve the exponential equation using logarithms. Give the answer in decimal form, rounding to four decimal places. (Enter your answers as a comma-separated list.) 4^(x − 3) = 3^(2x) x = _____
  8. College Algebra

    4 + 5^6x = 8 (a) Find the exact solution of the exponential equation in terms of logarithms. x = (b) Use a calculator to find an approximation to the solution rounded to six decimal places. x = can any body help me out here please?
  9. algebra

    Solve the exponential equation. Express the solution in terms of natural logarithms. Then, use a calculator to obtain a decimal approximation for the solution. e^x = 20.9 What is the solution in terms of natural logarithms?
  10. precalc

    2^(3x + 1) = 3^(x − 2) (a) Find the exact solution of the exponential equation in terms of logarithms.

More Similar Questions