college algebra

posted by .

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 = _____

  • college algebra -

    4^(x-3) = 3^(2x)
    (x-3)*Log4 = 2x*Log 3
    Divide both sides by Log 4:
    x-3 = 2x * 0.79248 = 1.5850x
    x - 1.5850x = 3
    -0.5850x = 3
    X = -5.1282

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. GED MATH

    You are given an equation of the form y = ax2 + bx + c. y = 4x2 + 2x − 3 (a) Use a graphing utility to graph the equation and to estimate the x-intercepts. (Use a zoom-in process to obtain the estimates; keep zooming in until …
  2. precal

    Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) 2 cos2 θ − cos θ − …
  3. precal

    Find all solutions of the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where appropriate.) 2 cos θ − 1 = 0
  4. precalculus

    Find all solutions of the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where appropriate.) tan^2 θ − 3 = 0
  5. 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.) 4x − 3 = 32x x = _____
  6. Precal

    Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where appropriate.) cos θ = 0.16 I know how to find the answers when it's in fraction form, however, …
  7. Calculus 1

    Use Newton's method to find all roots of the equation correct to six decimal places. (Enter your answers as a comma-separated list.) (x − 9)^2 =ln x
  8. precalc

    Solve the equation. (Enter your answers as a comma-separated list. Round your answers to four decimal places.) 2^x − 8(2^−x) + 2 = 0
  9. calculus

    Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where appropriate.) tan θ = −square root of 3
  10. calculus

    Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where appropriate.) tan θ = −square root of 3 answer in radian and please use the k integer

More Similar Questions