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Lv 4
? asked in Education & ReferenceHomework Help · 7 years ago

Help with a logarith?

1/2 log3 x=2 log3 2

Update:

*logarithm

Update 2:

Other problems:

3 log2 x=-log2 27

log x+log (x-21)=2

log(2x)-log(x-3)=1

1 Answer

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  • Brainard
    Lv 7
    7 years ago

    1. 1/2 log3 x=2 log3 2

    log_3(x^1/2) = log_3(2^2)

    x^1/2 = 4

    x = 16

    2 3 log2 x=-log2 27

    log_2(x^3) = - log_2(27)

    log_2(x^3) + log_2(27) = 0

    log_2( 27x^3) = 0

    27x^3 = 1

    x^3 = 1/27

    x = (1/27)^1/3

    = 1/3

    What are the bases of the other two questions?

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