In the next 10 months, colin wants to save 900 for his vacation. he plans to save 75 each of the first 8 months. how much must he save each of the last two months in order to meetc his goal if he saves the same amount each month?

he must save 150 for each of the last two months.

Step-by-step explanation:

In the next 10 months, Colin wants to save 900 for his vacation. He plans to save 75 each of the first 8 months. This means that the total amount that Colin would save in the first 8 months would be

75 × 8 = 600

Let x represent the amount that he must save in each of the last two months in order to meet his goal if he saves the same amount each month. Therefore,

2x + 600 = 900

2x = 900 - 600 = 300

x = 300/2 = 150

the solution is 12x-6y

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: