math

posted by .

Find the value of each of the following. Leave your answers as fractions where appropriate. Do not change bases.

a) log4 (1/8)

B)10^(-10log3)<---superscript in brackets


c.2log3<-----subscript.9


d.log3<---subscript.3^2x

  • math -

    4 = 2^2, so 2 = 4^(1/2)
    1/8 = 1/2^3 = 2^-3 = (4^1/2)^-3 = 4^(-3/2)
    so, log4(1/8) = -3/2

    10^(-10log3) = 10^(-log 3^10) = 10^(log 3^(-10)) = 3^(-10)

    log3(9) = 2
    2log3(.9) = log3(.9^2) = log3(.81)
    log3(.81) = log3(81) - log3(100) = 4-log3(100)

    recall that logb(b^x) = x
    log3(3^2x) = 2x

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Chemistry

    I am having trouble balancing this equation: Ca(OH){subscript 2} + (NH{subscript 4}){subscript 2} SO{subscript 4} -> CaSO{subscript 4} + NH{subscript 3} + H{subscript 2} O Please help, thanks.
  2. Chemistry

    Here's one last equation I can't balance: Al{subscript 2}(SO{subscript 4}){subscript 3} + ZnCl{subscript 2} -> AlCl{subscript 3} + ZnSO{subscript 4} Please help, and thanks again.
  3. CHEMISTRY

    I am having trouble balancing this equation: Ca(OH){subscript 2} + (NH{subscript 4}){subscript 2} SO{subscript 4} -> CaSO{subscript 4} + NH{subscript 3} + H{subscript 2} O Please help, thanks. Response Ca(OH)2 + (NH4)2SO4 --> …
  4. physics

    A particle of mass m starts from x subscript o = 0 m with V subscript o > 0 m/s. The particle experiences the variable force F subscript x = F subscript o sin (cx) as it moves to the right along the x-axis, where F subscript o and …
  5. physics

    A particle of mass m starts from x subscript o = 0 m with V subscript o > 0 m/s. The particle experiences the variable force F subscript x = F subscript o sin (cx) as it moves to the right along the x-axis, where F subscript o and …
  6. Math

    (I have two questions) 1. Solve for x without a calculator: log3(x^2)=2log3(4)-4log3(5) This is what I have so far: 2log3(x)=log3(4^2)-log3(5^4) 2log3(x)=log3(16/625) ...and now I'm stuck. 2. Simplify: 2log4(9)-2log3 <--how do you …
  7. math

    Determine the value of each of the following logarithmic expressions. Do not change bases. A) log8 4 <----- 8 is subscript b)log 1/3 27 <---- 1/3 is subscript
  8. math

    Solve for x in the following equations. (4 marks) log3(x - 5) + log3(x + 3) = 2 <--- both log3.. 3 is subscript log7x + log7(x - 1) = log72x <--- all log7.. 7 is subscript.
  9. Chemistry

    Calculate the amount (g) of each of the following salts that need to be added to a 200 mL volumetric flask to produce a 2 M solution of S. CaSO(subscript 4) [NH(subscript 4)subscript 2]SO(subscript 4) NOTE: the subscript 2 is outside …
  10. Math Proof

    Prove that for all integers n > or = 1 and all real numbers x subscript 1, x subscript 2,...., x subscript n. absolute value of (x subscript 1+ x subscript 2+...+ x subscript n) <or= abs(x subscript 1) + abs( x subscript 2)+..+ …

More Similar Questions