Wednesday, 2 December 2015

FUNCTIONS 2




If F(x) = log3x, Find F(1/59049)

Solution

F(x) = log2x

F(1/59049) = log3(1/59049)

F(1/59049) = log359049-1

F(1/59049) = log3(310)-1      [since 59049 = 310 by prime factorization]

F(1/59049) = log33(10 x -1)

F(1/59049) = log33-10

F(1/59049) = -10log33

F(1/59049) = -10 x 1

F(1/59049) = -10


Therefore F(1/59049) = -10

TRY THIS...............

If F(x) = log3x, Find F(1/6561)

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