How to change base of logarithms: best answer gets 27 points and brainliest answer

1/3

Step-by-step explanation:

 To change from one base to another, we use the formula

Logb x = Loga x/Loga b

log1/9  (3^(1/3) /3)

log3 ((3^(1/3) /3))

log3 (1/9)

Log a /b = log a - log b

and 1/9 = 3^-2

log3 ((3^(1/3) ) - log3 (3)

log3 (3^-2)

log a^b  = blog a

1/3 log3 (3 ) - log3 (3)

-2log3 (3)

We know log3 (3) =1

1/3 (1) - 1

-2 (1)

1/3  - 1

-2

-2/3

-2

Copy dot flip

-2/3 * -1/2

1/3

people grow faster than other people.

step-by-step explanation:

should you really be posting this isn't math boi.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .