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
Scorpion4ik [409]
3 years ago
13

Which is the solution for log(4x-1)=log(x+1)+log2?

Mathematics
2 answers:
JulsSmile [24]3 years ago
4 0

Answer:

It's x=3/2

Step-by-step explanation:

Took it just now

Thepotemich [5.8K]3 years ago
3 0

Answer:

x = 1.5

Step-by-step explanation:

Solution

  • log(4x - 1) - log(x+1) = log2        log(x + 1) was subtracted from both sides
  • log[(4x - 1)/log(x+1)] = log2        Subtaction of logs means division  
  • (4x - 1) / (x + 1) = 2                      Take the antilog of both sides
  • 4x - 1 = 2(x + 1)                           Remove the brackets
  • 4x - 1 = 2x + 2                            Add 1 to both sides
  • 4x = 2x + 3                                 Subtract 2x  
  • 4x - 2x = 3                                  
  • 2x = 3                                         Divide by 2
  • x = 3/2                                        Answer

Check

<em><u>Left Hand Side</u></em>

  • log(4*1.5 - 1)
  • log(6 - 1)
  • log(5)

<em><u>Right Hand Side</u></em>

  • log(1.5 + 1) + log(2)
  • log(2.5) + log(2)
  • log2*2.5
  • log 5

And they check

You might be interested in
What is 10x10x1908 i need this as soon as possibly
zheka24 [161]

Answer: 190800

Step-by-step explanation:

10 • 10 = 100

Than when you multiply anything 100 you just add two 0s to the end.

100 • 1908 = 190800

6 0
3 years ago
BRAINLIESTT ASAP! PLEASE HELP ME :)
Lubov Fominskaja [6]

Answer: \sqrt{37}

=====================================

Work Shown:

6x-y = -3 is the same as 6x-y+3 = 0

6x-y+3 = 0 is the form Ax+By+C = 0 with A = 6, B = -1, C = 3.

The distance d that line is from the point (p,q) = (6, 2) is found by the following

d = \frac{A*p+B*q+C}{\sqrt{A^2+B^2}}\\\\d = \frac{6*6-1*2+3}{\sqrt{6^2+(-1)^2}}\\\\d = \frac{36-2+3}{\sqrt{36+1}}\\\\d = \frac{37}{\sqrt{37}}\\\\d = \frac{37\sqrt{37}}{37}\\\\d = \sqrt{37}\\\\d \approx 6.08276\\\\

7 0
3 years ago
(5x3) (2x3)=_____ ______7x3=_______ _______________x3=______
skelet666 [1.2K]
(5*3)(2*3)=(15)(6)=90
7*3=21
21*3=63
8 0
3 years ago
If you deposit $12,500 in an account that pays 4.5% interest quarterly, what is the balance after 8 years? How much did the acco
Masja [62]

In order to determine the balance of the account, use the following formula for the amount of money obtained after t years, basen on a compound interest:

A=P(1+\frac{r}{n})^{nt}

where,

P: principal = $12,500

A: amount earnt after t years = ?

r: interest rate in decimal form = 0.045 (4.5%)

n: times at year for the compund interes = 4 (quaterly)

Replace the previous values of the parameters into the formula for A and simplify:

\begin{gathered} A=12,500(1+\frac{0.045}{4})^{4\cdot8} \\ A=12,500(1+0.01125)^{32} \\ A=12,500(1.01125)^{32} \\ A=12,500(1.430451402) \\ A\approx17,880.64 \end{gathered}

Hence, the balance after 8 years is approximately $17,880.64 in the account.

The interest earnt by the account is given by the difference between the previous result and the principal invesment:

I = $17,880.64 - $12,500 = $5,380.64

Hence, the interest earnt is $5,380.64

3 0
1 year ago
* There are 17 members in a travel group. The Venn diagram below shows members that have been to the United
Nastasia [14]

Answer:

7 has been to Australia

9 has not been to the united states

10 has not been to Australia

8 has been to the United States

3 0
2 years ago
Other questions:
  • Which number has an absolute value greater than 5? <br> 0<br> -5<br> 5<br> -6
    7·1 answer
  • Which equation finds the volume of a cube with a side length of 2n6 units?
    9·1 answer
  • The Gonzalez family is taking a cruise that costs e,082.24 for a family of four. How much does it cost per person?
    15·2 answers
  • Solve 4x - 9 = 15
    6·2 answers
  • Write the multiplicative inverse of 1.725. Enter your answer as a fraction in its simplest form. The multiplicative inverse of 1
    14·1 answer
  • Please help! I'm having trouble... Pic attached below.
    5·1 answer
  • Rewrite the equation 6 = 9(x + 3) using the Distributive Property
    8·1 answer
  • THALES’ THEOREM: If A, B, and C are three different points on a circle with a diameter line AB, then ∠ABC is a right angle True
    15·1 answer
  • Help me please i really need help
    6·2 answers
  • Hi please help me out
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!