Move the numbers to the lines to order them from least to greatest

-3/2, 1.25, |-9/4|, 2.5, 121

Step-by-step explanation:

Convert all numbers to a decimal

-3/2 = -1.5

|-9/4| = 2.25

2.5 = 2.5

121 = 121.0

1.25 = 1.25

Now put them in order from least to greatest.

-3/2, 1.25, |-9/4|, 2.5, 121

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: