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

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!

the image of (6, 9) under a dilation is (4, 6). the scale factor is

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.