Matematika

Pertanyaan

jika diketahui ^2log a+^2log b =12 dan 3^2log a-^2log b=4 maka a+b=.............

1 Jawaban

  • ²log a + ²log b = 12
    ²log b = 12 - ²log a

    3 ²log a - ²log b = 4
    3 ²log a - (12- ²log a) = 4
    3 ²log a + ² log a - 12 = 4
    4 ²log a = 4 + 12
    4 ²log a = 16
    ² log a = 16/4
    ²log a = 4
    a = 2⁴
    a = 16

    ²log b = 12 - ²log a
    ²log b = 12 - 4
    ²log b = 8
    b = 2^8
    b = 256

    a+b=16+256=272

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