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Archy [21]
2 years ago
7

Using properties of logarithms in excersises 13-18, use the properties of logarithms o write the logarithm in terms of log3(5) a

nd log3(7) log3 (21/5)
Mathematics
1 answer:
Maslowich2 years ago
4 0

Answer:

log_3(\frac{21}{5}) = log_3(7) - log_3(5)+ 1

Step-by-step explanation:

Given

log_3(\frac{21}{5})

Required

Express in terms of log_3(5) and log_3(7)

log_3(\frac{21}{5})

Express 21 as 7 * 3

log_3(\frac{21}{5}) = log_3(\frac{7 * 3}{5})

Apply law of logarithm

log_3(\frac{21}{5}) = log_3(7) + log_3(3) - log_3(5)

log_3(3) = 1. So, we have:

log_3(\frac{21}{5}) = log_3(7) + 1 - log_3(5)

Rewrite:

log_3(\frac{21}{5}) = log_3(7) - log_3(5)+ 1

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