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OLEGan [10]
3 years ago
13

Simplify into one logarithm 2 log x + 3 log y

Mathematics
1 answer:
const2013 [10]3 years ago
8 0
If a logarithm has a coefficient, then the coefficient can also be written as the exponent of the input of the logarithm. In other words, if you have the logarithm alog(x), that is equal to log(x^a). So the expression can be rewritten:

log(x^2)+log(y^3)

If tow logarithms of the same bases are added together that is equal to the logarithm of the product of the inputs of the two original logarithms. In other words, given log(x)+log(y), it can also be written as log(xy). So the expression can be combined into one logarithm:

log(x^2 * y^3)
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Hiro and his co-workers had lunch at a restaurant near their work. An 18% tip on their bill was $10.08. How much was the bill, n
Ghella [55]

Answer:

$8.27

Step-by-step explanation:

First we need to find the tip.  We know it was 18% of the total. So...

x (the variable we need to find)         18%

__                                                   =     ___

10.08 (the total bill including tip)        100%

cross multiply

100x = 181.44

--------------------   (divide by 100 to get x by itself)

100

x = 1.81 (The 18% tip that was given)

So now we know how much the tip was, we subtract it from the bill

10.08 - 1.81 = $8.27

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3 years ago
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Solve for r.<br> 7(r + 1) = 20.3
docker41 [41]

Answer:

r = 1.9

Step-by-step explanation:

7r + 7 = 20.3

<u>     - 7      - 7  </u>

7r = 13.3

divide by 7

r = 1.9

4 0
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Step-by-step explanation:

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