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ra1l [238]
3 years ago
12

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 – x = 25

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
4 0

Answer:5.52 or -4. 52

Step-by-step explanation:

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Solve for x 4^x-2=256
salantis [7]
We can do this problem using two ways....
Let me show you both methods.

<u>Method 1: "Without using logs"</u>

4^{x-2}=256\\\\  4^{x-2}=4^4\ \ \ \ \ |\because 4^4 \ $is the same as 256

Now, since both sides of the equation have same base and they equal each other, then their exponent must be equal to each other. So, we equal their exponents. 

After equaling the exponents, we get,
x - 2 = 4 \\\\ x=4+2 \\\\ \boxed{x = 6} \Leftarrow $ This is your answer!!

Now,
<u>Method 2: "Using Logs"</u>

4^{x-2}=256 \\\\ ~~~~~~~\Downarrow   ~~~~~~ is\ the\ same\ thing\ as\ saying \\\\$log\ _4\ 256 =x-2 \\\\ Now,\ using\ the\ log\ property\ log_AB= \frac{log_cA}{log_cB}, \ we \ get, \\\\  \frac{log_{10}256}{log_{10}4}=x-2 \\\\ 4=x-2 \\\\ 4+2=x\\\\ 6=x \\\\ \boxed{x=6} \Leftarrow $This is your answer



<u>So, either way we get x= 6</u>
8 0
3 years ago
Read 2 more answers
Help, i dont get it. 100 points_
Verdich [7]

Answer:

1

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A cylinder has a radius of 1 inch and a height of 1 inch. What is the approximate volume of the cylinder? Round to the nearest h
stich3 [128]
Answer:3.14
Step-by-step explanation:
Volume of cylinder can be calculated by using the formula V= pir^2h
Where r is radius of cylinder and h is the height.
A cylinder with radius 1 inch and height of 1 inch is given.
r=1,h=1,π=3.14.
Substituting the given values :
V=3.14(1)^2(1)
Volume of cylinder rounded to nearest tenth is 3.14 cubic inches .

Read more on Brainly.com - brainly.com/question/15702861#readmore
5 0
3 years ago
4 pints equals how many cups
grin007 [14]

8 cups

have a goed day

5 0
3 years ago
Sandra walks 13 miles in 3 hours. At what unit rate does Sandra walk?
Lady_Fox [76]

Answer:

Not sure what is asking,but if it is asking for the equation. Then it is 13/3.

Step-by-step explanation:

5 0
3 years ago
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