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Vaselesa [24]
3 years ago
9

Using the graph of f(x) = log10x below, approximate the value of y in the equation 10^y = 3.

Mathematics
2 answers:
SpyIntel [72]3 years ago
8 0

Answer:

y=0.4771

Step-by-step explanation:

Given : Using the graph of f(x) = \log_{10}x

To find : The value of y in the equation 10^y = 3 .

Solution :  

Let, y= \log_{10}x

and  10^y = 3

Now, we plot these two equations.

The graph of y= \log_{10}x is shown with violet line.

The graph of 10^y = 3  is shown with black line.

The solution to this system will be their intersection point.  

The intersection point of these graph is (3,0.4771)

Refer the attached graph below.

Therefore, The value of y=0.4771

or we can verify it by,

10^y = 3

Taking log both side,

y=\log_{10}3=0.4771

Tamiku [17]3 years ago
7 0
Assuming log10x means log(base 10)x 

Let's rewrite 10^y = 3 by taking the log(base 10) of both sides
log (10^y) = log (3)                 Remember that log(10^y) = y
y = log (3) 
This is the same as our function f(x) = log(x), or f(3) = log(3)
Consult our graph of f(x) to find the y value at x=3
Checking the graph, we can find the value of y at point x=3
The value is .477. Therefore, y =.477, or about 1/2
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Answer:

Step-by-step explanation:

-15 times -5 = 75

-15 + -5 = -20

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3 years ago
A horseback riding trail is 1 mi 40.8 ft long. How long is the trail in yards, feet, and inches?
ch4aika [34]

Answer:  1773.6 yards   5320.8 feet  64324.8 inches

Step-by-step explanation:  

1 mile in yards = 1760                                                                                         40.8 feet in yards = 13.6      1760 + 13.6 =<u> 1773.6 yards </u>

1 mile in feet = 5280 + 40.8 = <u> 5320.8 feet </u>

1 mile in inches  = 63360

40.8 feet in inches = 964.8

63360 + 964.8 = <u>64324.8 inches </u>

<u>hope this helps :) </u>



6 0
3 years ago
I need help with this <br> ASAP!!
liraira [26]

Answer:=

−243 /512 Fraction

4 0
3 years ago
5a - 24b =-15<br> 10a + 45c =21<br> 48b + 35c = 49
andrew-mc [135]

5a + 15 = 24b so,

10a + 30 = 48b,

sub to third equation,

10a + 30 + 35c = 49

10a + 35c = 19

perform elimination with second equation

10a + 45c = 21

10a + 35c = 19

________________-

10c = 2

c = 1/5

sub to second equation,

10a + (45)(1/5) = 21

10a + 9 = 21

10a = 12

a = 6/5

sub to first equation

(5)(6/5) - 24b = -15

6 + 15 = 24b

21 = 24b

b = 7/8

redo the calculations, correct me if I'm wrong

6 0
3 years ago
True or false?
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True...

the longer the coffee sits the cooler it will be

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3 years ago
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