Answer:
[tex]{ \rm{ log_{x}(5) + log_{x}(12) = 7}} \\ \\ { \rm{ log_{x}(5 + 12) = 7}} \\ \\ { \rm{ log_{x}(17) = 7}} \\ \\ { \rm{17 = {x}^{7} }} \\ \\ { \boxed{ \rm{ {x}^{7} = 17 }}}[/tex]
• further more:
[tex]{ \rm{x = \sqrt[7]{17} }} \\ \\ { \boxed{ \rm{x = 1.5}}}[/tex]
The equivalent exponential equation is given by [tex]x^7 - 60 = 0[/tex].
What is an equation?Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.
As per the given data:
We are given a logarithmic equation, and we have to find out the equivalent equation with exponents.
The logarithmic equation given in the question is:
[tex]log_x5 + log_x12 = 7[/tex] ...(i)
By using the following property of logarithm, we can simplify this equation.
[tex]log_x(ab) = log_xa + log_xb[/tex]
By using this property in eq (i)
[tex]log_x[5 \times 12] = 7[/tex]
[tex]log_x[60] = 7[/tex]
By using logarithmic transformation.
[tex]x^7 = 60[/tex]
∴ [tex]x^7 - 60 = 0[/tex]
The equivalent exponential equation is given by [tex]x^7 - 60 = 0[/tex].
Hence, The equivalent exponential equation is given by [tex]x^7 - 60 = 0[/tex].
To learn more about equation, click:
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When 1 is added to one-half of number x, the result is 3. What is the value of x?
A) 1
B) 3
C) 4
D) 6
E) 8
And why?
Answer:
C) 4
Step-by-step explanation:
1 + x/2 = 3
x/2 = 2
x = 4
The value of x is 4.
Start with 4. Half of 4 is 2. Add 1. You get 3. 4 makes the problem work, so 4 is the answer.
Answer: C) 4
look at pic 10 pts will mark brainilest
Answer:
B. 160 minutes
Step-by-step explanation:
200/5=40
40*4=160
Answer:
160
Step-by-step explanation:
You would have to divided the recent pages (200) with the previous (5)
and you would get 40 and then you would multiply the divided amount page with the 4 minutes and you would get 160
How it was worked out:
200 / 5 = 40, 40 x 4 = 160
there are 12 eggs of the same weight on the scale. the total weght is 620g determine the total weight if the number of eggs is increased to 20
Answer:
1033.2 g or 1.033 kg
Step-by-step explanation:
(620/12)(20) = 1033.2 g
Malia owns 1 out of 3 gas stations in Jasper. In Webster, Abby owns 6/25 of the gas stations. Who owns a greater fraction of gas stations in her area?
Malia or Abby?
Answer:
I think it would be Malia but if I'm wrong please let me know.
find the least common multiple of 10,15,25 please no links or photo
Answer:
150
Step-by-step explanation:
The LCM of 10,15,25 10 , 15 , 25 is 2⋅3⋅5⋅5=150 2 ⋅ 3 ⋅ 5 ⋅ 5 = 150 .
help please i really need this done
Answer:
x = 33°
Step-by-step explanation:
x = 180° - 80° - 67° = 33°
A patio of a house is 16 feet by 12 feet. The area of the patio is square feet.
Answer:
192
Step-by-step explanation:
16 * 12 = 192 square feet
brainliest please??
The value of X (click photo)
Answer:
20°
Step-by-step explanation:
;b
Answer:
x=40
Step-by-step explanation:
The measure of the angle <RTS is half the difference of the measures of the intercepted arcs (mRS and mQP).
<RTS=(1/2)(mQP-mRS)
(x/2)=(1/2)((x+70)-(x+30))
x=x+70-x-30
x=40
Bob wants to buy a car. He puts $8,000 in a savings account that has a
simple interest rate of 4%. If he leaves his money in the account for 3
years, how will be in his account in TOTAL after 3 years?"
A-$960
B-8,960
C-7,040
D-$320
9514 1404 393
Answer:
B. $8,960
Step-by-step explanation:
Use your number sense.
If the account earns interest, the balance will increase from the initial deposit of $8000. The only sensible answer choice is B, $8960.
__
If you want to actually figure it out, the balance is given by ...
A = P(1 +rt)
A = 8000(1 +0.04·3) = 8000(1.12) = 8960 . . . . matches choice B
What is the value of x?
Answer: 15
Step-by-step explanation:
x-6/(x-6)+3 = x/x+5
The x in the equation is 15
Find the area of the following figure with the given dimension.
Answer: 54 cm^2
Step-by-step explanation:
Area of a triangle= 1/2 * b * h
A= 1/2 * 9 * 12
A= (9*12)/2
A= 108/2
A- 54 cm^2
look at pic 10 pts will mark brainilest
Answer:
A) The width is 12 cm; the average time is 3 minutes
Step-by-step explanation:
[tex]\frac{5}{3}= \frac{20}{y}[/tex]
Cross multiply.
5 × y = 3 × 20
5y = 60
5y ÷ 5 = 60 ÷ 5
y = 12
The width is 12 cm. Moving onto the time.
[tex]\frac{12}{4} =\frac{y}{1}[/tex]
Cross multiply.
4 × y = 12 × 1
4y = 12
4y ÷ 4 = 12 ÷ 4
y = 3
The time is 3 minutes.
Answer:
answer is d sorry if I'm wrong
Devaughn is 7 years younger than Sydney. The sum of their ages is 79 . What is Sydney's age?
Answer:
Sydney is 72 years old
Step-by-step explanation:
My friends name is Sydney too lol
Solve the system using subtraction
X+4y =26
4x+5y=27
Please help explain how to do this with finding correct answer
At 4.5 miles per hour, how long will it
take him to walk 18 miles?
Answer:
4 hours
Step-by-step explanation:
If he walks at 4.5 mph, then it will take him 18/4.5 hours to walk 18 miles. 18/4.5 is equal to 4.
1. Find the surface area of the triangular pyramid.
12 yd
17.3 yd
20 yd
What is the surface area of the triangular pyramid
Referring to the figure, find the value of x
Answer:
x=23
Step-by-step explanation:
solved the variable
Answer:
x = 23
Step-by-step explanation:
All triangle angles add up to 180 so:
x + 3x + 3 + 85 = 180
4x + 88 = 180
4x = 180 - 88
4x = 92
x = 23
The area of a triangle is 20 square feet.
What are the height and base of the
triangle?
Pls help need answers quick
Does the set of points represent a function? Explain.
helppppppppppppppppppp
Answer:
X =64
Step-by-step explanation:
helpp i beg u its due in one hour!!! plz
Answer:
113.1 cm²
Step-by-step explanation:
we are given the diameter of the circle (length is 12 cm), and the formula for the area of the circle, which is πr², where r is the radius
so first, we need to find the radius
the length of the radius is half the length of the diameter
so that means that r=d/2
r=d/2
r=12/2
r=6
therefore the length of the radius is 6
now square 6, which is the same as multiplying it by itself
6²=36
now, multiply the radius squared by π, which is often substituted for as 3.14 or 22/7
so if we were to do 22/7 for instance,
36*22/7≈113.14
round that to 113.1
there's your answer :)
Hope this helps!
2. Which number is irrational?
A. 319
B. 93
C. 419
D. 94
25 - [2x(18 divided by 3) + 2
Answer:
the answer is 11
Step-by-step explanation:
if you take 18 divided by 3 and then 2 times that plus 2 and minus 25 it is 11
what is 1/3 +4 x 3
If you answer correctly i will give 100 points and Brainiest :)
Write an explicit formula for an, the n^th term of the sequence 22, 20, 18, ....
Answer:
[tex]a_n=a+(n-1)d[/tex]
Step-by-step explanation:
The given sequence is 22, 20, 18, ...
We need to find the explicit formula for an.
First term is 22
Second term = 20
Third term = 18
We can write the formula as :
[tex]a_n=a+(n-1)d[/tex]
Where
a is 22
d is common difference = 20-22 = -2
Forth term will be :
[tex]a_4=22+(4-1)(-2)\\\\=22-6\\\\=16[/tex]
Hence, the formula is [tex]a_n=a+(n-1)d[/tex].
A jar has 6 red marbles and 4 blue marbles. If 2 marbles are chosen, one at a time without replacement, what is the probability that both marbles will be red
1/3 Probability both are red
red picked first:
6/10
red picked second:
5/9 (9 as first red marble not replaced so 5 red marbles remaining and 4 blue marbles still)
6/10 * 5/10 = 1/3
Hope that helps!!
Charlie buys a new Bey Blade for $11.38. He gives the cashier $15.00. How much change will he get back? Select TWO ways he will get change.
Answer:
2 & 4
Step-by-step explanation: :)
8.2 % of what number is $2.13?
Answer:
Step-by-step explanation:
174
Answer:
i believe its 26
Step-by-step explanation:
please mark brainliest if right
How to solve X2 + 2x -63
Answer:
Answer is -69
Step-by-step explanation:
-69 bc 69 is always correct
Answer:
( x − 7) ( x + 9 )
Step-by-step explanation:
Factor x 2 + 2 x − 63 using the AC method.
8. What is the value of x? Pls show work thank you
Answer:
hi
Step-by-step explanation:
[tex]7x - 15 + x= 180 \\ 8x = 180 + 15 \\ 8x = 195\\ x = 24.375 \\ x + 28 + 4x - 3 + 24 = 180 \\ 5x = 180 - 28 + 3 - 24 \\ 5x = 131 \\ x = 26.2[/tex]
i think so
hope it helps
have a nice day