Matematika

Pertanyaan

2^log a + 2^log b = 12 dan 3.2^log a - 2^log b = 4 maka a+b = ???
a. 144 b. 272 c. 528 d. 1.204 e .1.040

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1 Jawaban

  • ^2log ab=12
    2^12=ab
    a=2^12/b
    ^2log a^3/b=4
    2^4=a^3/b
    16b=a^3
    b=a^3/2^4
    a=(16b)^1/3
    2^12/b = 2^4/3.b^1/3
    b^4/3=2^12/ 2^4/3
    b^4/3=2^32/3
    b^4/3=(2^8)^4/3
    b=2^8=256
    a=2^12/2^8=2^4=16
    a+b=256+16=272

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