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sweet-ann [11.9K]
2 years ago
14

If logb 5=0.41, find logb 12

Mathematics
1 answer:
Hitman42 [59]2 years ago
6 0
<span>Determine which one of the following is the correct application of the change of base formula?

a)log3 14= log10 14/3
b)lo4 17= log10 4/ log10 17
c)log8 3= log10 3/log10 8
d)log9 32 = log10 32-log10 9

The change of base formula is as follows:
                                         log to the base 10 of x
log to the base b of x  = ----------------------------------
                                          log to the base 10 of b

Compare this to answer choice C:

</span><span>c)log8 3= log10 3/log10 8      Here x = 3 and b = 8.  This is the only correct choice.</span><span>

</span>
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Write a recursive formula for each sequence given or described below.
valentinak56 [21]

Answer:

a_{n} =a_{n-1} +3000 and a₁ =30000 for n = 2,3,4,5,6, ......

Step-by-step explanation:

Doug has joined a job with a starting salary of $30000 per year.  

Hence, if a₁ is the salary of Doug in the first year, then  

a₁ =30000

Now, each year Doug will receive a raise of $3000 in his salary.

Hence, in the 2nd year, his salary(a₂) will become ( a₁ +3000) per year.

Again, in the 3rd year, his salary(a₃) will become ( a₂ +3000) per year.

Therefor, in the similar manner the recursive formula for his salary in each year will be given as a_{n} =a_{n-1} +3000 and a₁ =30000 for n = 2,3,4,5,6, ...... {aₙ is the yearly salary of Doug in the nth year} (Answer)

7 0
3 years ago
If A and B are two points having coordinates (- 2, 2) and (2,-4) respectively, find the coordinates of P such that AP= AB.​
Karo-lina-s [1.5K]

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(0,1)

Step-by-step explanation:

The mid point of A(-2,2) and B(2,-4) is the coordinates of point P, which is (x,y)

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At point AP: x = (-2+2)/2 = 0

also, point PB: y = (2 - 4)/2 = -1

Therefore, coordinates of point P = (0,-1)

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