1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
enyata [817]
1 year ago
5

Expand each logarithm. log 2 x³y⁻²

Mathematics
1 answer:
suter [353]1 year ago
7 0

The expanded logarithm of log 2 x³y⁻²  is = log 3 + 3 log x - 2 log y.

What is a logarithmic function?

A logarithmic function in mathematics is defined as the function which is the inverse of the exponential function. It is denoted by using the word log. For example log 10 = 1

Expanding the given logarithm: log 2 x³y⁻²  

Given logarithmic expression is log 2 x³y⁻²  

Applying given properties of logarithmic function;

log a + log b = log (ab)

2 log a = log a^2

Now, log 2 x³y⁻² = log 3 + log x³ + log y⁻²

= log 3 + 3 log x - 2 log y

Hence, the expanded logarithm of log 2 x³y⁻²  is = log 3 + 3 log x - 2 log y.

To learn more about the logarithmic functions, visit here:

brainly.com/question/25710806

#SPJ4

You might be interested in
Can someone please rewrite this so I won't get marked for plagiarism?
d1i1m1o1n [39]

Answer:

Paying extra on your mortgage means that you make additional payments to your principal loan balance beyond your regular payments. For example, if you pay $1,300 per month normally, you may pay an extra $200 to the principal for a total payment of $1,500. Or if you get a bit of money, say a $5,000 tax refund, you could apply it to your principal loan balance. The faster you pay off your mortgage, the less you will pay in interest, reducing your overall loan cost. However, this option should be considered in the context of your larger financial situation.How much will you save by making extra payments?The amount you can save by making extra mortgage payments is one of the first things you need to figure out as that number will enable you to compare it to other options. Let’s take a look at how much you could save on interest over the life of a 30-year, $200,000 loan with a 3.5% interest rate if you paid $50, $100 and $250 extra each month. Just paying an extra $50 per month will shave 2 years and 7 months off the loan and will save you over $12,000 in the long run. If you can up your payments by $250, the savings increase to over $40,000 while the loan term gets cut down by almost a third.The savings can be substantial. Use a mortgage calculator to figure out your estimated savings. Then, compare that to the savings or returns you can get by investing the same money elsewhere.Ways to prepay your mortgagePay more every monthThe first option is to analyze your budget and see if you can afford to increase the amount you pay on your mortgage each month. Even if you can only commit to $25 or $50, it can save you thousands over the course of the loan.Make an extra payment each year Another option is to make one extra payment each year that is equal to your normal payment amount. This can be a good option if you get a bonus or tax refund each year.Make a lump-sum paymentSometimes situations come about which leave people with a lump sum of money, like receiving an inheritance. While exciting, it can also be stressful because you want to use the money wisely. Using lump sums to pay down your mortgage helps to reduce your interest and increase equity faster, which is a helpful investment. It can also ensure that the money is invested rather than spent.Mix it up You can also use a combination of these approaches, such as paying a little bit more each month and then making a larger one-time payment when you can.

The right payment strategy for you will depend on your financial situation. For example, if your budget is tight and you can’t commit to paying more every month but have certain months when your income is higher, you can commit to making an extra payment during those months. Alternatively, if you don’t receive any income boosts throughout the year but have a little bit of disposable income each month, the monthly payment option will be a better fit.When not to pay extraPaying extra on your mortgage can be helpful but it isn’t always the best use of your money.“Whether you should pay extra on your mortgage or not depends on the rest of your financial picture. If you have credit card debt, an expensive car loan, or other high-interest debt, you’ll want to pay that down before making extra payments on your mortgage,” Matthew McEwan, VP of real estate development and property management firm Medallion Capital Group, said.“Additionally, if you are a savvy investor who can tolerate some risk, you may be able to achieve a higher rate of return by investing that money instead,” McEwan said.What to do before paying off your loan earlyBefore you pay off your mortgage early, there are a few things you should do. For one thing, you’ll want to meet all of your regular necessary expenses (rent, food, clothing, etc.). Next, ensure you pay off any debts you have with interest rates that are higher than the interest rate on your mortgage. For example, if you have a $5,000 balance on a credit card with an 18% APR and your mortgage has a 4% APR, you’ll save more by paying down the credit card first.It’s also recommended to make sure that you have an emergency savings account that is equal to at least three months of pay, and preferably six. Moreover, confirm that you and your dependents are enrolled in the insurance policies you need to protect yourselves in the future. This often includes health, property, auto, disability and life policies.

If you have an employer offer to match your retirement savings up to a certain percentage, max out the company contributions. The earlier you invest in retirement, the better.

7 0
3 years ago
The table shows the cost of Girl Scout cookies in order to continue the proportional relationship how much would 5 boxes of cook
LUCKY_DIMON [66]

Answer:18.75

Step-by-step explanation: each cookie costs 3.75 so 3.75 times 7= 18.75

3 0
3 years ago
Need help ASAP ASAP
vovangra [49]

Answer:

X = 70, y = 21

Step-by-step explanation:

53 + 6y + 1 = 6y + 54

6y + 54 = 180

180 - 54 = 126

6y = 126

126 ÷ 6 = 21

Y = 21

21 × 6 + 1 = 127

127 = 2x - 13

127 + 13 = 140

140 ÷ 2 = 70

X = 70

Opposite angles are congruent and consecutive angles are supplementary.

Hope that helped and have a great day!

3 0
2 years ago
Find the surface area of a rectangular prism that is 16 inches long, 12 inches wide, and 5 inches high.
liubo4ka [24]
You have to times all the numbers together to get the surface area.
So that means you have to do 16*12*5.
4 0
3 years ago
Read 2 more answers
The sixth grade boys' basketball team broke the schools record. They mad…
navik [9.2K]

Answer:

Oop tea tell me why☕️

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Given that the measure of ∠x is 31°, and the measure of ∠y is 27°, find the measure of ∠z.
    10·1 answer
  • You are considering applying for a job as sales representative for a company that makes tanker trucks. You see this graph displa
    12·1 answer
  • What is the length of AC¯¯¯¯¯
    6·2 answers
  • A piece of wood is designed in the same of a cone.
    8·1 answer
  • How do you subtract negative numbers using counters
    6·1 answer
  • I will give out brainliest tell me the reason 2
    10·2 answers
  • An architect drew plans for an office building.
    11·1 answer
  • Which equation represent the line that passes through the points (-4,3) and (2,-12)
    10·1 answer
  • Solve for x. 12(x+11) = 24
    8·2 answers
  • Which similarity statement best fits this picture
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!