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Math

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these are some problems i do not get any help is appreciated. These are copied exactly from the worksheet so i don't think i wrote anything wrong. Please explain it for me and could i get the answer thanks (:

Log7 x= ½ log7 36 (log base 7)

log x=2log 5+ log 4

Logx 10 + logx 8-logx 5= 4 (log base x)

5^2x=3

  • Math -

    Log7 x= ½ log7 36 (log base 7)

    log7 (x) = log7 (36)^.5
    so
    x = 36^.5 = 6

  • Math -

    log x=2log 5+ log 4

    log x = log(5)^2 + log 4
    log x = log (25*4)
    x = 100

  • Math -

    Logx 10 + logx 8-logx 5= 4 (log base x)

    logx (10*8/5) = 4

    logx (16) = 4

    16 = x^4
    well, what to the fourth power = 16 ?

  • Math -

    5^2x=3

    2 x log 5 = log 3

    x log 25 = log 3

    x = log 3 / log 25

  • Math -

    i have this problem ½ log2 x=3log22-log24
    (log base 2) it is kinda of the same as the first one but i don't undersand how you got them?

  • Math -

    log2 (x^.5 ) = log2 (8) - log2(4)

    log2 (x^.5) = log2 (2) which is 1

    log 2 (x^.5) = 1

    x^.5 = 2^1 = 2

    x = 2^2 = 4

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