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yuradex [85]
3 years ago
10

How to solve for x/ extraneous solutions

Mathematics
1 answer:
taurus [48]3 years ago
3 0

Answer:

<h2>x = 8</h2>

Step-by-step explanation:

\log_ab=c\iff a^c=b\\\\===================\\\\Domain:\ 8x>0\to x>0\\\\\log_4(8x)=3\iff4^3=8x\\\\8x=64\qquad\text{divide both sides by 8}\\\\x=8\in D

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6k+4k&lt;-4k+6 solve for k
Genrish500 [490]

Answer:

k < 3/7

Step-by-step explanation:

Step 1:Sinplify both sides of the inequality

10k <-4k+6

Step 2: Add 4k to both sides

10k + 4k < -4k + 6 + 4k

14k < 6

Step 3:Divide both sides by 14

14k/14 < 6/14

k <3/7

Note:Provided by Mathpapa an Algebra caculator

6 0
2 years ago
The quotient of a and 5
Butoxors [25]

Answer:

\frac{a}{5}

Step-by-step explanation:

That would be a divide by 5: \frac{a}{5}

7 0
3 years ago
What is 1/2 of 25? _______Explain.
Scilla [17]

Answer:

12.5

Step-by-step explanation:

0.5x25=12.5. FILLER

7 0
3 years ago
Solve the inequality. -4x + 15 &lt; -21
Dmitriy789 [7]

Answer:

x>9

Step-by-step explanation:

-4x + 15 < -21

Subtract 15 from each side

-4x + 15-15 < -21-15

-4x < -36

Divide each side by -4, remembering to flip the inequality

-4x/-4> -36/-4

x >9

6 0
3 years ago
Find the length of the missing side (nearest tenth).<br> 25 yd<br> 37 yd
Ket [755]

Answer:

27.3 yards

Step-by-step explanation:

Since this triangle is a right triangle, this can be solved using the equation:

a^2 + b^2 = c^2

c^2 is the side opposite to the right angle (37)

So, you need to change the equation to where it is set equal to b^2.

Subtract a^2 on both sides.

b^2 = c^2 - a^2

Now, plug in the numbers you have.

b^2 = 37^2 - 25^2

Simplify.

b^2 = 1369 - 625

b^2 = 744

Now, to find b, take the square root of 744.

√744 = 27.3

8 0
3 years ago
Read 2 more answers
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