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1 vote
How do I solve this algebraically?
2-6lnx= 10

User Apnerve
by
8.0k points

1 Answer

2 votes

Answer:

Work it like a normal algebra problem to get ln x on one side. Then use a calculator or log tables.

Explanation:

Until you get to the actual logarithm the math is the same as for any algebra equation.

2

6

×

ln

(

x

)

=

10

;

6

ln

(

x

)

=

8

;

ln

(

x

)

=

(

4

3

)

NOW we take the antilog, inverse, or exponential of both sides:

e

ln

(

x

)

=

e

(

4

3

)

;

x

=

0.264

CHECK:

2

6

×

ln

(

x

)

=

10

;

2

6

ln

(

0.264

)

=

10

2

6

(

1.33

)

=

10

;

2

(

8

)

=

10

;

10

=

10

CORRECT!

User Martin Blaustein
by
8.2k points

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