Exponential Functions?!

posted by .

solve 9^(2x-3) > 4. Round your answer to the nearest hundredth.

The part in parenthesis is up at top like an exponent. I dont' know how to do this. Please help me.

  • Exponential Functions?! -

    find the value of x such that
    9^(2x-3) = 4
    ln both sides
    (2x-3) ln9 = ln4
    2x-3 = ln4/log9
    2x = 3 + ln4/ln9
    x = (3 + ln4/ln9)/2 = appr 1.82

    so x > 1.82

    check:
    let x = 1.81
    LS = 9^(.62) = 3.905..... < 4
    let x = 1.83
    LS = 9^(.66) = 4.26.. > 4

  • Exponential Functions?! -

    Ah, thank you so much!!! GOd bless you!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. algebra

    How do you simplify (4x^3y^5)^2? are you using the carrots for symbolising "the power of..." or fractions?
  2. 6th grade Math

    Converting Fractions; *Round to the nearest hundredth. -DECIMALS- I don't know if i'm right, I don't really know how to round it to the nearest hundredth. Help please.. 1. 4/7 2. 9/13 3. 6/7
  3. Math

    Use your knowledge of exponents to solve. a) 1/2^x=1/(x+2) b) 1/2^x>1/x^2 So I know that these functions are rational functions.. and I am trying to solve for x. I tried to solve them by I keep getting stuck with the exponent 2 …
  4. Trig/Precalc

    solve 6=e^0.2t Round your answer to the nearest hundredth Someone please help me - I don't understand this problem at all!
  5. Algebra II Part 2

    Use a graphing calculator to solve the equation -3 cos t=1 in the interval from 0 to 2 p.Round your answer to the nearest hundredth
  6. Math Help! Someone please help?:)

    1. The sides of a square are increased by a scale of 6. The perimeter of the small square is 10ft. What is the perimeter of the larger sqaure?
  7. math

    Phillip opened a savings account with an annual interest rate of 8% and an initial deposit of $3500. If his interest is compounded quarterly, how much is in Jeffrey’s account after 2 years?
  8. Algebra

    The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 3.7% per hour. How many hours does it take for the size of the sample to double?
  9. Probability and statistic

    Suppose X has an exponential distribution with mean equal to 13. Determine the following: (a) Upper P left-parenthesis x ⁢ greater-than 10 right-parenthesis (Round your answer to 3 decimal places.) (b) Upper P left-parenthesis …
  10. math

    A data set is shown below. x y 1 6.00 2 5.04 3 4.23 4 3.56 5 2.99 6 2.51 7 2.11 Using an exponential best-fit model, what is the residual when x = 1. Round your answer to the nearest hundredth. This is the problem i dont understand …

More Similar Questions