Menu
Home / Arithmetic Aptitude / Logarithm :: Discussion

Discussion :: Logarithm

  1. If log10 x = a, log10 y = b, and log10 z = c, so (to base 10) the antilogarithm of pa+qb+rc would be

    2. A.
    Px + qy- rz
    B.
    xp yq zr
    C.
    Apti Logarithm
    D.
            Apti Logarithm

    View Answer

    Workspace

    View Answer

    Answer : Option B

    Explanation :

    Let x = antilog (pa+qb+rc)z

    Or, we can say that log x = pa+qb+rcz

    Or, log x = p log10 x + q log10 y + r log10 z

    We know that, p log q = log qp

    Or, log x = log10 xp + log10 yq + log10 zr

    Or, we know that log a + log b = log ab

    Or, log x = log (xp yq zr)

    Since, both sides log will be canceled out

    Therefore, x = xp yq zr)

    Hence, the antilogarithm of pa+qb+rc = x xp yq zr)

Write your comments here:

Be The First To Comment