Write the exponential form of log7 1/343=-a
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Answer:
log
7
(
1
343
)
=
x
Rewrite
log
7
(
1
343
)
=
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
.
7
x
=
1
343
Create equivalent expressions in the equation that all have equal bases.
7
x
=
7
−
3
Since the bases are the same, the two expressions are only equal if the exponents are also equal.
x
=
−
3
The variable
x
is equal to -3
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