Answer:
8.06198187
...
Step-by-step explanation:
ln
(16
x
−
7
)
=
ln
(
19
)
Expand ln
(
16
x
−
7
) by moving x
−
7 outside the logarithm.
(
x
−
7
)
ln
(
16
)
=
ln
(
19
)
Apply the distributive property.
x
ln
(
16
)
−
7
ln
(
16
)
=
ln
(
19
)
Move all the terms containing a logarithm to the left side of the equation.
x
ln
(
16
)
−
7
ln
(
16
)
−
ln
(
19
)
=
0
Move all terms not containing
x
to the right side of the equation.
x
ln
(
16
)
=
7
ln
(
16
)
+
ln
(
19
)
Divide each term by ln
(
16
) and simplify.
x
=
7
+
ln
(
19
)
ln
(
16
)
The result can be shown in multiple forms.
Exact Form:
x
=
7
+
ln
(
19
)
ln
(
16
)
Decimal Form:
x
=
8.06198187...
sry for being incorrect the last time.
