Answer:
8.06198187 ...
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.