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
Xelga [282]
3 years ago
8

Please help me on this one

Mathematics
1 answer:
Aliun [14]3 years ago
6 0

Answer:

The single logarithm is ㏒2[x³/(3/x+4)] ⇒ 1st answer

Step-by-step explanation:

* Lets revise some rules of the logarithmic functions

- log(a^n) = n log(a)

- log(a) + log(b) = log(ab)

- log(a) - log(b) = log(a/b)

* Lets solve the problem

∵ 3㏒2(x) - {㏒2(3) - ㏒2(x + 4)} ⇒ we want to make it single logarithm

# 3㏒2(x) = ㏒2(x³)

# ㏒2(3) - ㏒2(x + 4) = ㏒2[3/(x + 4)]

∴ 3㏒2(x) - {㏒2(3) - ㏒2(x + 4)} = ㏒2(x³) - ㏒2[3/(x + 4)]

∵ ㏒2(x³) - ㏒2[3/(x + 4)] = ㏒2[x³ ÷ 3/(x + 4)]

∴ 3㏒2(x) - {㏒2(3) - ㏒2(x + 4)} = ㏒2[x³/(3/x+4)]

* The single logarithm is ㏒2[x³/(3/x+4)]

You might be interested in
Simplify x + 6.2 + 8.5.<br>6.2x + 8.5<br>x + 14.7<br>0 14.7×​
Alenkinab [10]

Answer:

x + 14.7

Step-by-step explanation:

Simply combine like terms. Constants go with each other and <em>x</em> terms go with each other.

6.2 + 8.5 = 14.7

x = x

x + 14.7

3 0
3 years ago
A retailer spends $25 on a new video game. They have to pay 7.5% sales tax on
shepuryov [24]

Answer:

The tax is $1.88

Step-by-step explanation:

7.5% = 0.075 (divide by 100)

0.075 * $25 = 1.875 or $1.88

7 0
2 years ago
Convert 950 us dollars to brtish pund sterling. use 1 dollar= 0.62 british pund sterling
Vaselesa [24]

That would be 950 * 0.62 = 589 British pounds.

6 0
3 years ago
Lines a and b are parallel. The slope of line b is 1/3. What is the slope of line a?
Viefleur [7K]

Answer:

1/3

Step-by-step explanation:

Parallel lines have the same slope.

Therefore, if the slope of line b is 1/3, the slope of line a is also 1/3

8 0
2 years ago
Help me ..... im stuck here​
Jobisdone [24]
The answer is (3p-5pt)/12

remove parenthesis but the terms are connected.
4 0
3 years ago
Other questions:
  • Determine the common difference for each arihmetic sequence 1,5,9,13
    14·2 answers
  • Suppose you got 8 mangoes and 3 apples for $18 and 3 mangoes and 5 apples for $14.50.
    5·1 answer
  • Which number has more than two factor?
    9·2 answers
  • How do I solve 15+5-5/12. please give me the steps
    5·1 answer
  • Emilio bakes 2 pies. he shares them equally among 3 friends. how many pies does each person get?
    5·1 answer
  • Find the quotient if the dividend is 2.26 · 108 and the divisor is 0.013.
    13·1 answer
  • 1.- Maria compro $750 en mercancia, por pajar en efectivo le hacen un descuento del 15%, ¿cuánto pago Maria con el descuento?
    14·1 answer
  • A full tin of paint has a mass of 22 kg.When the same tin is 3/4 filled with paint,it has a mass of 17 kg.What is the mass of th
    15·2 answers
  • Help its do in 15 mins ​
    6·1 answer
  • Helpppppppppp plssssssssss
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!