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
dybincka [34]
3 years ago
8

Expand the logarithm. log (y/5)2

Mathematics
1 answer:
viktelen [127]3 years ago
4 0

Answer: 2 log y - log 25

<u>Step-by-step explanation:</u>

Notes: Division expands to subtraction.  Exponent expands to multiplication.

log\bigg(\dfrac{y}{5}\bigg)^2\\\\\\=log\bigg(\dfrac{y^2}{5^2}\bigg)\\\\\\=log(y^2)-log(5^2)\\\\\\=\large\boxed{2log(y)-log(25)}

You might be interested in
Find X.<br> PLEASE HELP:(
Citrus2011 [14]

Answer:

what class is this for

Step-by-step explanation:

wfdh jgfffgjj bddgj from bgj

5 0
3 years ago
You borrow $3,897 for a loan for college expenses with a 2.5% interest rate. How much interest is charged on the loan
belka [17]

Answer:

Amount of interest pay per year = $97.5 (Approx.)

Step-by-step explanation:

Given:

Amount borrow for college expenses = $3,897

Rate of interest = 2.5%

Find:

Amount of interest pay per year

Computation:

Using Simple interest formula;

Simple interest = Amount borrow x Rate of interest x number of year

Amount of interest pay per year = 3,897 x 2.5% x 1

Amount of interest pay per year = 3,897 x 0.025

Amount of interest pay per year = 97.425

Amount of interest pay per year = $97.5 (Approx.)

7 0
3 years ago
Given the following functions f(x) and g(x), solve f[g(6)]. f(x) = 6x + 12 g(x) = x − 8
iogann1982 [59]

Answer:

Answer:

Option 2nd is correct.

=0.

Step-by-step explanation:

Given the function:

Solve:

First calculate:

f[g(x)]

Substitute the function g(x)

Replace x with x-8 in the function f(x) we get;

The distributive property says that:

Using distributive property:

⇒

Put x = 6 we get;

Therefore, the value of   is 0.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Hello:) anyone able to explain how to solve the equestrian for part (d) ? Thank youu
Anna007 [38]

Answer:

see explanation

Step-by-step explanation:

Given

4a^{4} - 5a² + 1 = 0

Use the substitution u = a², then equation is

4u²  - 5u + 1 = 0

Consider the product of the coefficient of the u² term and the constant term

product = 4 × 1 = 4 and sum = - 5

The factors are - 4 and - 1

Use these factors to split the u- term

4u² - 4u - u + 1 = 0 ( factor the first/second and third/fourth terms )

4u(u - 1) - 1(u - 1) = 0 ← factor out (u - 1) from each term

(u - 1)(4u - 1) = 0

Equate each factor to zero and solve for u

u - 1 = 0 ⇒ u = 1

4u - 1 = 0 ⇒ 4u = 1 ⇒ u = \frac{1}{4}

Convert u back into terms of a, that is

a² = 1 ⇒ a = ± 1

a² = \frac{1}{4} ⇒ a = ± \frac{1}{2}

Solutions are a = ± 1 , a = ± \frac{1}{2}

7 0
3 years ago
Write 4 216 in expanded form
joja [24]

Answer:

4000+200+10+6

Step-by-step explanation:

Have a good day and stay safe!

5 0
3 years ago
Read 2 more answers
Other questions:
  • The lcm of two numbers that have no common factors is their product
    5·2 answers
  • 125 students have volunteered to be on the prom committee. 2 of those students will be randomly chosen to win free tickets to th
    6·1 answer
  • What is 7.3519 to 1 decimal place?
    13·2 answers
  • Find the average mark<br>10,15,12,18,22,25,30,27,40,21​
    6·2 answers
  • 1. What statement describes the relationship between the graph of the equation y = −|x| and the graph of the equation y = −|x| −
    10·1 answer
  • Is the following number rational or irrational?
    7·2 answers
  • What is the measure of ZABD?<br> 510<br> B<br> A<br> h
    11·1 answer
  • The area of a parcel of land can be represented by the expression 9x2 - 6x + 10. The parcel must be divided into 3 equal parts.
    10·1 answer
  • How would you<br> you categorized (15, 4, V16, o,<br> 3/2<br> .5
    5·1 answer
  • Which graph shows a set of ordered pairs that represent a function?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!