Q11. If f(x) = 4 x and g(x) = 12, find the point of intersection of the graphs o

Question

Q11. If f(x) = 4x and g(x) = 12, find the point of intersection of the graphs of f and g by solving f(x) = g(x). Give an exact answer.
    a. (log 4 12, 12)
    b. (log 4 12, 4)
    c. (log 4 12, 0)
    d. (12, 12)

Q17. Write log 7 (xy)/15 as the sum and/or difference of logarithms. Express powers as factors.
    a. (1/2) log 7 xy - (1/2) log 7 15
    b. (1/2) log 7 x (1/2) log 7 y ÷ (1/2) log 7 15
    c. (1/2) log 7 x + (1/2) log 7 y - (1/2) log 7 15
    d. (1/2) log 7 x + (1/2) log 7 y - log 7 15

Explanation / Answer

f(x) = 4^x

g(x) = 12

f(x) = g(x)

4^x = 12

applying exponential property

x = log 4 12

y = 12

hence, point of intersection is ( log 4 12 , 12 )

option a is correct

17)

log 7 sqrt (xy)/15

log 7 (xy)/15 ^ 1/2

1/2 log 7 ( xy )/15

1/2 [ log 7 x + log 7 y - log 7 15 ]

option c is correct

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