91. solve each equation. express your answer as a logarithm, and then approximate the solution to the nearest thousandth.
a. 3(10)−x = 1/9

Given :

Therefore, taking log on both sides we get:

Now, equating the values of the above variables we get:

0.4771 - x(1) = 0 - 0.9542

x = 0.4771 + 0.9542

x = 1.4313

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 .