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astra-53 [7]
4 years ago
15

Evaluate the expression. log_{4} 64^600

Mathematics
2 answers:
Reika [66]4 years ago
6 0
\log _{ 4 }{ \left( { 64 }^{ 600 } \right)  } \\ \\ =600\cdot \log _{ 4 }{ 64 } \\ \\ =600\cdot 3\\ \\ =1,800
Murrr4er [49]4 years ago
3 0
\log_{4} 64^{600}=\\
 \log_{4} (4^3)^{600}=\\
 \log_{4} 4^{3\cdot 600}=\\
 \log_{4} 4^{1800}=\\ 1800
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The range of F(x) = logbx is the set of all positive real numbers.
shtirl [24]

Answer:

The range of F(x) = logbx is the set of all positive real numbers is TRUE

Step-by-step explanation:

Given:

A function which logarithmic i.e F(x)=logbX=logx/logb  with base 10

To Find;

Range belongs to All set are positive real numbers.

Solution:

The domain is function for which all set of inputs are defined  and range for function is that set of all output that functions takes.

So Simple logarithmic function y=logbX is

X=b^y

So  The functions has domain of all real values  and range set of all real number.

In general the function F(x) = logbx  where X>0 and b≠1  is continuous and one to one function.

logarithmic function is not defined for negative numbers or for zero.

And Also function approaches y-axis as x-tends to infinity but never touches the it.

Hence the Given statement is true

7 0
4 years ago
3. A bag contains 10 green and 5 grey marbles. If you pick a marble, record its color,
butalik [34]
The answer is B.50
Because it’s Plato
8 0
3 years ago
The cost to rent a condominium at the beach is $1,500 per week. If two people share the cost, they each have to pay $750. Explai
netineya [11]

Step-by-step explanation:

c = cost per person

p = number of people

The cost per person is 1500/p, where 

is the number of people. A larger p creates a smaller value of c since they are INVERSELY RELATED.

I believe the inverse variation function is

c = 1500 × 1/p

make sure to ask if you need anything else. :)

4 0
2 years ago
Joni has a circular garden with a diameter of 16.5. If she uses 2 teaspoons of fertilizer for every 25 square feet of garden how
Murljashka [212]

Answer:

17.106 Teaspoons of fertilizer

Step-by-step explanation:

Joni has a circular garden with a diameter of 16.5. If she uses 2 teaspoons of fertilizer for every 25 square feet of garden how many teaspoons of fertilizer will Joni need for her entire garden?

Step 1

We calculate the area of the garden.

The garden is circular in shape.

Area of a circle = πr²

r = radius = Diameter/2

Diameter = 16.5 ft

r = 16.5/2

r = 8.25 ft

Area of the circle = π × 8.25²

Area of the circle (Garden) = 213.82464998 ft²

Approximately = 212.825ft²

Step 2

If she uses 2 teaspoons of fertilizer for every 25 square feet of garden how many teaspoons of fertilizer will Joni need for her entire garden?

25 ft² = 2 teaspoons of fertilizer

212.825ft² = x

Cross Multiply

25 ft² × x = 212.825ft² × 2

x = 213.825× 2/25 ft²

x = 17.106 Teaspoons of fertilizer

3 0
3 years ago
Ziv's taxicab ride cost $33. He left a 15% tip.
sergiy2304 [10]

Answer:

Step-by-step explanation:

1. Find 15% of $33 to find the tip.

Find 1%  of $33 (move the decimal over 2 places to the left.        $0.33

2. Multiply the 1% tip by 15%

       33 * 15 =  $4.95  

3. Add $33 and $4.95

          4.95 + 33.00 = $37.95 total

 

4 0
3 years ago
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