Ryo accidentally ordered 240% as many eggs as his restaurant needed. what fraction of the number of eggs his restaurant needs did ryo order?

Ryo ordered of the amount of eggs his restaurant needed

Step-by-step explanation:

Let's call z the number of eggs the restaurant needs

Ryo ordered 240% of the eggs he needed. Then Ryo ordered:

z.

This fraction can be simplified by dividing by 10 in the numerator and denominator.

Then it is:

It can be further simplified by dividing by 2 in the numerator and denominator:

z

Ryo ordered of the amount of eggs his restaurant needed

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: