precalculus

posted by .

how do i solvethis equation (btw we are studyinglogarithms)

3^(x^3)=9^x

2^x=10

(4^x)-(2^x)=0

  • precalculus -

    for the first you don't even need logs
    3^(x^3)=9^x
    3^(x^3)=(3^2)^x
    3^(x^3) = 3^(2x)

    so x^3 = 2x
    x^3 - 2x = 0
    x(x^2 - 2) = 0

    x = 0 or x = ±√2

    for second, take logs of both sides
    log(2^x) = log 10
    xlog2 = 1
    x = 1/log2

    for the last

    4^x = 2^x
    2^(2x) = 2^x
    2x = x
    x = 0

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math algebra 1

    There are 4 times as many nickels as dimes in a coin bag. The coins have a total value of 600 cents ($6.00). Find the number of nickels. Write and solve an equation to do so. (i found the answer through guess and check but i need to …
  2. Algebra-Please help me

    Could you please show me how to solvethis: x+6/4x^2 + 3/2x^2 = x + 4/2x^2 Please show me the steps-I don't even know where to start and I have 30 of these for homework Thank you
  3. Precalculus

    Identify the graph of the equation. What is the angle of rotation for the equation?
  4. Precalculus

    Consider the equation 7sin^2x - (4sin2^x)/cosx = -1 a) Put the equation in standard quadratic trig equation form. Why is it 7sin^2x - 8sinx + 1 =0?
  5. precalculus

    When asked to sketch the graph of g(x)= -e^(x+1) +1, how do I turn this equation into exponential form?
  6. cananyone solvethis math

    A subset S of {1,2,…,n} is said to be packed if whenever i,j∈S the number ⌊(i+j)/2⌋ is also in S. Determine how many subsets of {1,2,…,25} are packed. Details and assumptions i and j need not be distinct. If i=j …
  7. PreCalculus

    y^2/25-x^2/9=0 What is the polar equation that is equivalent to the rectangular equation?
  8. Chemistry Help please! (:

    Calculate the mass of oxygen gas that can be produced in the decomposition of 5.55 g of silver oxide. This is what I did but is it right?
  9. CHEMISTRY!!!! HELP

    3.) Calculate the mass of oxygen gas that can be produced in the decomposition of 5.55 g of silver oxide. This is what I did but is it right?
  10. chemistry

    A BALANCED CHEMICAL EQUATION BTW IRON (Fe3+) and NaOH.

More Similar Questions