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Serhud [2]
3 years ago
11

3^4=81. How do you write as a logarithm

Mathematics
1 answer:
Alla [95]3 years ago
5 0
The form it is currently in is called the exponential form. Which is represented with this equation: 

y = b^x

The equivalent logarithmic equation is: 
x = log_b y

Where b, is a base.
So our power becomes what the problem is equal to, the number that is being brought to that power is the base. The one on the equal sign is what we are taking the log of. So it will look like this:

4 = log_3 81 
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Robert needs to cut four shelves from a board that is 2.5 meters long. The second shelf is 18 cm longer than twice the length of
g100num [7]
STEP 1:
convert meters to centimeters
100 cm= 1 meter

= 100 cm/m * 2.5 m
= 250 cm


STEP 2:
x= length of first shelf
2x+18= length of second shelf
x-12= length of third shelf
x+4= length of fourth shelf

since the whole board has to be used, add lengths of all shelves and set it equal to the whole length of the board (250 cm).

x + (2x+18) + (x-12) + (x+4)= 250 cm
combine like terms
5x + 10= 250
subtract both sides by 10
5x= 240
divide both sides by 5
x= 48


STEP 3:
find length of second shelf
= 2x + 18
= 2(48) + 18
= 114 cm


CHECK:
x + (2x+18) + (x-12) + (x+4)= 250
48 + (2(48)+18) + (48-12) + (48+4)= 250
48 + (96+18) + 36 + 52= 250
48 + 114 + 36 + 52= 250
250= 250


ANSWER: Shelf two is 114 cm.

Hope this helps! :)
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3 years ago
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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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2 years ago
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Answer:

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Step-by-step explanation:

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