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
Brut [27]
3 years ago
11

What is the solution of log 2 (3x-7) = 3

Mathematics
1 answer:
wel3 years ago
7 0

\bf \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \stackrel{\textit{we'll use this one}}{a^{log_a x}=x} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \log_2(3x-7)=3\implies 2^{\log_2(3x-7)}=2^3\implies 3x-7=2^3\implies 3x-7=8 \\\\\\ 3x=15\implies x=\cfrac{15}{3}\implies x=5

You might be interested in
Use the scenario to answer the question. Tyrone was asked to write the recursive and explicit formula for the sequence {−4,−7,−1
Anton [14]

The last option: In his recursive formula, he should have the term an−1 instead of −4 to get an=an−1−3.

7 0
3 years ago
The board of directors of Midwest Foods has declared a dividend of $3,500,000. The company has 300,000 shares of preferred stock
FinnZ [79.3K]

Answer:

  1. $855,000
  2. Dividend per share of common stock = $1.06

Step-by-step explanation:

1. Preferred Share dividends.

There are 300,000 preference shares and each of them got $2.85. Total dividends are;

= 300,000 * 2.85

= $855,000‬

2. Total dividends = $3,500,000

Dividends left for Common Shareholders (preference gets paid first)

= 3,500,000 - 855,000

= $2,645,000

Common shares number 2,500,000

Dividend per share of common stock = \frac{2,645,000}{2,500,000}

= $1.06

7 0
3 years ago
Carrie needs $45 to buy her mother a gift she has 22% saved up already how much does she still need
Alina [70]
She has $9.90 saved, she needs $35.10 more to buy the gift
5 0
3 years ago
Ram travels 200 km in 2 and a half hours by a car, how long would he take to travel 140
MrRissso [65]

Answer:

x=1.75 hour

Step-by-step explanation:

200km=2.5

140km=x

2.5 * 140=200x

350=200x

x=350/200

x=1.75

the time it will take is x=1.75 hour

4 0
2 years ago
Find the product of (x2 + 2x −3)(4x2 − 5x + 6). (2 points) a 4x4 + 13x3 − 16x2 + 27x − 18 b 4x4 + 3x3 − 28x2 + 27x − 18 c 4x4 +
skad [1K]

Answer:

D

Step-by-step explanation:

We want to find:

(x^2+2x-3)(4x^2-5x+6)

Distribute:

=(x^2+2x-3)(4x^2)+(x^2+2x-3)(-5x)+(x^2+2x-3)(6)

Distribute:

=(4x^4+8x^3-12x^2)+(-5x^3-10x^2+15x)+(6x^2+12x-18)

Rearrange:

=(4x^4)+(8x^3-5x^3)+(-12x^2-10x^2+6x^2)+(15x+12x)+(-18)

Combine like terms:

=4x^4+3x^3-16x^2+27x-18

The answer is D.

6 0
3 years ago
Other questions:
  • A month subscription to a website costs $10 to join and $15.50 per month. Write an equation in slope-intercept form to represent
    15·1 answer
  • 3. Which graph best represents the solution to the following system? (1 point)<br> (5x – 2y &lt;10
    13·1 answer
  • Is 45/27 equivalent??????
    15·1 answer
  • What are the solution(s) of x^2-4=20?
    8·1 answer
  • Can someone help me with this math question? The answer is suppose to be
    14·1 answer
  • Christina is packing different books into boxes. The paperback books weigh 0.8 pounds each. The hardcover books weigh 1.3 pounds
    14·1 answer
  • Find the missing number
    15·1 answer
  • Solve for the product of three and four sevenths multiplied by two fifths.
    9·1 answer
  • Find the modulus if the complex number 6-8i
    15·1 answer
  • If the range of the function y = f(x) is {y | y ≥ 11, y ∈ R}, then the range of the new function g(x) = f(x + 2) - 3 is
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!