Last Updated：2026/01/01
Sentence
Let
us
now
understand
by
an
actual
logarithm,
a
symbol
of
the
form
log
a,
in
which
a
is
any
positive
number,
while
b
is
any
positive
number
>
1,
and
which
denotes
such
a
positive
or
negative
number
or
zero,
that
when
the
“base”
b
is
potentiated
by
it,
the
result
will
be
the
“logarithmand”
a,—the
actual
logarithm
therefore
will
always
have
a
value
and
never
more
than
one,
and
that
value
is
negative,
zero,
or
positive,
according
as
the
logarithmand
is
<
1,
=
1,
or
>
1.
Quizzes for review
Let us now understand by an actual logarithm, a symbol of the form log a, in which a is any positive number, while b is any positive number > 1, and which denotes such a positive or negative number or zero, that when the “base” b is potentiated by it, the result will be the “logarithmand” a,—the actual logarithm therefore will always have a value and never more than one, and that value is negative, zero, or positive, according as the logarithmand is < 1, = 1, or > 1.
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