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    I have a couple of questions.

    Consider the following formulae

    y=px^2+qx+r

    z=1/2 px^2+5qx

    Calculate the value of x where 𝑦= 𝑧. Express the solution as an algebraic equation. Considering the following values for 𝑝= 2, q= √5, 𝑟=2.25 please provide the values of x that satisfy the previous expression 𝑦= z

    and also this:

    Simplify (Condense) the following [e.g. ln(x) + ln(y)= ln(xy) ]

    (i) 2ln 𝑥 −3ln 𝑥+1 +ln(𝑦)

    (ii) ln 4 +3ln 𝑥 −ln(𝑦+1)

    (iii) ln 6𝑥 −ln 12𝑦 −3ln 𝑒

    (iv) 3ln 𝑥 +3ln(𝑥−1)−3ln(𝑥2−1)

    any help would be appreciated, thanks.
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    (Original post by mathless)
    I have a couple of questions.

    Consider the following formulae

    y=px^2+qx+r

    z=1/2 px^2+5qx

    Calculate the value of x where 𝑦= 𝑧. Express the solution as an algebraic equation. Considering the following values for 𝑝= 2, q= √5, 𝑟=2.25 please provide the values of x that satisfy the previous expression 𝑦= z

    and also this:

    Simplify (Condense) the following [e.g. ln(x) + ln(y)= ln(xy) ]

    (i) 2ln 𝑥 −3ln 𝑥+1 +ln(𝑦)

    (ii) ln 4 +3ln 𝑥 −ln(𝑦+1)

    (iii) ln 6𝑥 −ln 12𝑦 −3ln 𝑒

    (iv) 3ln 𝑥 +3ln(𝑥−1)−3ln(𝑥2−1)

    any help would be appreciated, thanks.
    for question 1, y=z so equal them to each other, form a quadratic equation that equals 0 then use the quadratic formula? and sub in the given values?
 
 
 
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