Question

Solve for x. Round your answer to the nearest hundredth

Answer 1

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.

Answer 2

Answer:

8.06

Step-by-step explanation:

Exact form would be

X=7 + In(19)/In(16)