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
earnstyle [38]
3 years ago
13

Solve 4x+2 = 12 for x using the change of base formula log base b of y equals log y over log b.

Mathematics
2 answers:
Arisa [49]3 years ago
8 0
The answer is 3.5
You can just stick with a 2 step equation method and it would work.
Oksana_A [137]3 years ago
4 0

Answer:

x=2.5

Step-by-step explanation:

We have,

4x+2=12

\implies4x=10

Taking log both the sides we have,  

log\,4x=log\,10

\implies log\,4 + log\,x=log\,10 \left\:\: [ \because log\,ab = log\, a + log\, b\right ]

\implies log\,x=log\,10 -log\,4

\implies log\,x={ log\,(\frac{10}{4}) \:\:\left [\because log\,a -log\,b= log\,\frac{a}{b} \right ]

\implies log\,x=log\,2.5

\implies \frac{log\,x}{log\,2.5}=1

\implies log_{(2.5)}\, x=1\:\:\left [ \because log_{b}\,a=\frac{log\,a}{log\,b} \right ]

\implies x=(2.5)^{1}\:\: [ \because log_{b}\,a=m \implies a=b^{m} ]

Hence, we have x=2.5

You might be interested in
8x + 12 = 4r - 16 find r
Luda [366]

Answer:

r = 2x + 7

Step-by-step explanation:

get r on one side

8x + 12 + 16 = 4r

divide both sides by 4 to get r by itself

8x/4 + 12/4 + 16/4 = 4r/4

2x + 3 + 4 = r

2x + 7 = r

or

r = 2x + 7

8 0
3 years ago
Please need some help on this
vredina [299]
11111111111111117373646328299292922
8 0
3 years ago
Write the decimal expansion for 7/9
dedylja [7]
0.7777777778
there you go your welcome
6 0
3 years ago
Read 2 more answers
Select the graph that represents two quantities in a proportional relationship
dlinn [17]

The correct answer is option D.It is the graph that represents two quantities in a proportional relationship.

<h3>What is a graph?</h3>

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

As we can see graph D is showing the correct proportionality. We can also create an equation of proportionality as:-

Y = 2x

Put y = 0.5

0.5 = 2 x 0.5 = 1

As we put y=0.5 we get the value of x = 1 as shown in the graph.

Therefore the correct answer is option D.It is the graph that represents two quantities in a proportional relationship.

To know more about graphs follow

brainly.com/question/25020119

#SPJ1

3 0
2 years ago
To boost holiday sales, a jewelry store in Bismarck, North Dakota, is advertising the following promotion: "If more than seven i
REY [17]

Answer:

  about 0.037

Step-by-step explanation:

A suitable probability calculator can provide the probability that 7 inches will be exceeded. It is about 0.036815.

The probability the store will have to refund money is about 0.037.

6 0
3 years ago
Other questions:
  • An athlete jumps these 4 distances in a long jump competition. Which jump does not round to 4.7 meters?
    10·1 answer
  • 9 - 3 ( 5 - 4 x ) =====
    6·2 answers
  • Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the shape of the grap
    13·1 answer
  • How many kg equals 10.5 g??
    12·1 answer
  • An aircraft carrier travels a distance of 1,000 km in 3 days. What is its average rate of speed?
    12·1 answer
  • write a problem involving addition subtraction multiplication or division of integers and include the answer
    14·1 answer
  • The fifth graders to plant a butterfly garden. Clover grows in ½ of the garden, daisies in ¼ of the garden, coneflowers in ⅛ of
    11·1 answer
  • A password is formed by selecting three letters from the alphabet, followed by one number from 0 to 9. If
    9·1 answer
  • A consumer advocacy group suspects that a local supermarket's 10 oz. packages of cheddar cheese actually weigh less than 10 oz.
    7·1 answer
  • Please help me it’s trig!!!!!!!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!