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Svetradugi [14.3K]
3 years ago
13

When I solved this equation I got x=0.5

Mathematics
1 answer:
qwelly [4]3 years ago
4 0

You might have made an error the first time you solved for x. I got x = -0.5.

When you have your log base 4, the way you cancel that out is by making 4 the base on both sides, so you get 4^(log4) to reduce to 1, and you're left with:

2x + 3 = 4^(1/2) ... Simplify

2x + 3 = 2

2x = -1

x = -1/2

If you plug that back in, everything checks out. Maybe double check your use of logarithm/exponent properties?

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Simplify. Write answers with positive exponents only.
allochka39001 [22]

Answer:

The answer to your question is 2⁸x²⁰ y²⁴    or    256x²⁰y²⁴

Step-by-step explanation:

Data

                    (2x³y³)⁴ (2x²y³)⁴

To solve this problem, use the law of exponents.

1.- Use the law of Power of a power rule

                    (2x³y³)⁴ (2x²y³)⁴ =           (2⁴x¹²y¹²) (2⁴x⁸y¹²)      

2.- Use the multiplication rule

                      (2⁴x¹²y¹²) (2⁴x⁸y¹²)  =    2⁸x²⁰ y²⁴

3.- The answer is      2⁸x²⁰y²⁴ or we can simplify more like

                                 256x²⁰y²⁴

7 0
3 years ago
An 8% sales tax is applied to a $300 purchase in Texas. What is the total price with tax
natta225 [31]

Answer:

324

Step-by-step explanation:

<u>Step 1:  Find the sales tax </u>

Equation → 300 * 0.08 = x

300 * 0.08 = x

24 = x

<u>Step 2:  Find the total </u>

Purchase + Sales Tax

300 + 24

324

Answer: 324

8 0
3 years ago
Read 2 more answers
Find the distance between the points (-3,2) and (0,3).
Alex777 [14]

Answer:

The distance between (-3, 2) and (0,3) is √10.

Step-by-step explanation:

As we go from (-3,2)  to  (0,3), x increases by 3 and y increases by 1.

Think of a triangle with base 3 and height 1.  Use the Pythagorean Theorem to find the length of the hypotenuse, which represents the distance between the points (-3, 2) and (0, 3):

distance = √(3² + 1²) = √10

The distance between (-3, 2) and (0,3) is √10.

7 0
3 years ago
Read 2 more answers
I don’t quite understand what to do or how to solve it. Can someone explain please ?
Bess [88]

Answer:

True.

Step-by-step explanation:

Remember the vertical line test. Anywhere on that graph, you can draw a vertical line, and it will not touch the function two times. Because of this, it is true.

4 0
3 years ago
HELP PLSSS THIS IS HARD SOMEONE
mariarad [96]

Answer:

The 4th option

Step-by-step explanation:

Mark me as brainliest please

5 0
3 years ago
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