Post a New Question

math

posted by .

Find the value of each of the following. Leave your answers as fractions where appropriate. Do not change bases.

a) log4 (1/8)

B)10^(-10log3)<---superscript in brackets


c.2log3<-----subscript.9


d.log3<---subscript.3^2x

  • math -

    4 = 2^2, so 2 = 4^(1/2)
    1/8 = 1/2^3 = 2^-3 = (4^1/2)^-3 = 4^(-3/2)
    so, log4(1/8) = -3/2

    10^(-10log3) = 10^(-log 3^10) = 10^(log 3^(-10)) = 3^(-10)

    log3(9) = 2
    2log3(.9) = log3(.9^2) = log3(.81)
    log3(.81) = log3(81) - log3(100) = 4-log3(100)

    recall that logb(b^x) = x
    log3(3^2x) = 2x

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

More Related Questions

Post a New Question