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pogonyaev
4 years ago
6

Write the following expression as a single logarithm with coefficient 1. log 9 10- log9 1/2-log9 4

Mathematics
2 answers:
Ulleksa [173]4 years ago
8 0

Answer:

The answer is A) log sub9 5

Step-by-step explanation:

easy points got the answer from above (- . -)

slamgirl [31]4 years ago
6 0

we are given

log_9(10)-log_9(\frac{1}{2} )-log_9(4)

we can also write as

log_9(10)-(log_9(\frac{1}{2} )+log_9(4))

Since, the base of logs are same

so, we can use property

log_a(b)+log_a(c)=log_a(b\times c)

log_9(10)-(log_9(\frac{1}{2}\times 4)

log_9(10)-log_9(2)

we can use property of log

log_a(b)-log_a(c)=log_a(\frac{b}{c} )

so, we get

log_9(10)-log_9(2)=log_9(\frac{10}{2} )

log_9(10)-log_9(2)=log_9(5)

So, we get

log_9(10)-log_9(\frac{1}{2} )-log_9(4)=log_9(5).............Answer


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