4. Evaluate each of the following by converting to exponential form. 1 (a) log3
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Answer:
Algebra Examples
Popular Problems Algebra Evaluate log base 3 of 81
log
3
(
81
)
Rewrite as an equation.
log
3
(
81
)
=
x
Rewrite
log
3
(
81
)
=
x
in exponential form using the definition of a logarithm. If
x
and
b
are positive real numbers and
b
does not equal
1
, then
log
b
(
x
)
=
y
is equivalent to
b
y
=
x
.
3
x
=
81
Create equivalent expressions in the equation that all have equal bases.
3
x
=
3
4
Since the bases are the same, the two expressions are only equal if the exponents are also equal.
x
=
4
The variable
x
is equal to
4
.
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