Question 4 Determine the constant of varlation for the stated condition h varies

Question

Question 4 Determine the constant of varlation for the stated condition h varies directly as f and inversely as g, and h5 when f 35 and g 56. OA1 8 OC.k = 8 8 Question 5 Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. OBlogpx+lz o c.logbX+9l0gbV +Sl0gbZ o D.logbx+9l0gbV-SlogbZ Question 6 Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator og3X O A.3 log2x oB.3 logx oG 2 1093 x2 oD.2 log3X

Explanation / Answer

4) h varies directly as f and inversely as g

h = kf / g

5 = k(35) / (56 )

5* 56 = 35k

k = 5*56 / 35

k = 8

option c is correct

6) log b ( xy^9 / z^5 )

expanding using properties of logarithm

log b x + 9 log b y - 5 log b z

option d is correct

7) log 3 x^2

expanding using properties of log

2 log 3 x

option d is correct

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