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KatRina [158]
2 years ago
12

If log 2 = x and log 3 = y, write each logarithm in terms of x and y.

Mathematics
1 answer:
ruslelena [56]2 years ago
7 0

Step-by-step explanation:

log18 = log2 + log3 + log3 = x + 2y.

log9 = log3 + log3 = 2y.

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An arithmetic sequence has this recursive formula: (a^1 =8, a^n= a^n-1 -6
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Answer:

a_n = 8 + (n - 1) (-6)

Step-by-step explanation:

Given

a_1 = 8

Recursive: a_{n} = a_{n-1} - 6

Required

Determine the formula

Substitute 2 for n to determine a_2

a_{2} = a_{2-1} - 6

a_{2} = a_{1} - 6

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a_2 = 8 - 6

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The nth term of an arithmetic sequence is calculated as

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a_n = 8 + (n - 1) (-6)

Hence, the nth term of the sequence can be calculated usinga_n = 8 + (n - 1) (-6)

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