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
Elena-2011 [213]
3 years ago
9

Solve 4x+2=12 for using the change of base formula logby=logy over logb

Mathematics
2 answers:
s2008m [1.1K]3 years ago
8 0

Answer:

log₄ 10 = log₁₀ 10 / log₁₀ 4

Step-by-step explanation:

Taking the x to be a power then;

4^x +2 =12

4^x = 12-2

4^x=10

Introduce log on both sides

x log 4= log 10

x= log 10/log 4

log₄ 10 = log₁₀ 10 / log₁₀ 4

deff fn [24]3 years ago
3 0

Answer: x = log₄(3/4)  = -0.207

Step-by-step explanation:

when you have the equation:

n^x = b

whe have that:

Logₙ(b) = x

in this case we have the equation:

4^(x+2) = 12

(4^x)*(4^2) = 12

16*4^x = 12

4^x = 12/16 = 3/4

x = log₄(3/4)  = -0.207

You might be interested in
A restaurant offers a combo special with 3 different sandwiches, 2 different salads, and 5 different drinks. From how many diffe
m_a_m_a [10]

Answer:

30 ways

Step-by-step explanation:

Given the following information:

  • 3 different sandwiches
  • 2 different salads
  • 5 different drinks

Let assume that the combo contains:  1 sandwich, 1 salad, and 1 drink

Hence, we have:

  • The total possible ways of choosing sandwiches she can choose is: 3
  • The total possible ways of choosing salads she can choose is: 2
  • The total possible ways of choosing drinks she can choose is: 5

=> Total ways = 3*5*2 = 30 ways or there are 30 different combos Keisha can choose

Hope it will find you well.

5 0
3 years ago
6a-1÷7=4. . . . . . . . . . .. . . ​
Ipatiy [6.2K]

Answer:

a=29/42

Step-by-step explanation:

6a-1÷7=4

first write the division as a fraction

6a-1/7=4

add 1/7 to each side

6a=4+1/7

which is equal to

6a=29/7

divide both sides by 6

a=29/42

8 0
3 years ago
Which expression is equal to the expression below?
Debora [2.8K]

Answer:

48

Step-by-step explanation:

(2*6)4

(12)4

48

Hoped it helped :)

4 0
3 years ago
After 5 tests Dara's average score was 88 what score must she average on the next two tests to have a seven-test average of 90?
Tomtit [17]

After 5 tests, her average was 88. To have a seven-test average of 90, the total must be:

90 \times 7 = 630

Her average after 5 tests was 88. Her total score on the 5 tests is:

88 \times 5 = 440

Subtract:

630-440 = 190

Find the average by dividing by 2:

190 \div 2 = 95

Her average must be 95

3 0
3 years ago
Segment VY is a midsegment of trapezoid FEDC. Find x.
Morgarella [4.7K]

Answer:

x = 12

Step-by-step explanation:

The midsegment VY is half the sum of the parallel bases , that is

VY = \frac{EF+CD}{2} , then

3x + 18 = \frac{1}{2} (x + 96) ← multiply both sides by 2 to clear the fraction

6x + 36 = x + 96 ( subtract x from both sides )

5x + 36 = 96 ( subtract 36 from both sides )

5x = 60 ( divide both sides by 5 )

x = 12

8 0
2 years ago
Other questions:
  • The ratio of men to women working for a company is 5 to 8 . if there are 104 women working for the company, what is the total nu
    14·1 answer
  • Can someone please help me with both of these, I'll appreciate it:)
    8·1 answer
  • Nico had 31/2 yards of fabric. He used 2/3 yard to make a pillow cover and 1/3 yard to make a scarf. How much fabric does Nico h
    9·2 answers
  • The line having an x intercept of 3 and y intercept of 10<br> Write this in Standard form Ax+By=C
    10·1 answer
  • Algebraically find three consecutive positive integers such that the square of the first is equal to the third.
    13·1 answer
  • What is the lowest common denominator of the following set of fractions: 1/6 , 13/27 , 4/5 , 3/10 , 2/5 ?
    12·1 answer
  • Solve the system of equations and choose the correct ordered pair. 3x + 2y = 12 6x + 3y = 21
    7·2 answers
  • Find the angle between the diagonal of a cube of side length 15 and the diagonal of one of its faces, so that the two diagonals
    11·1 answer
  • Pls help me im goin cray cray
    12·1 answer
  • 1.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!