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dlinn [17]
3 years ago
13

I need help thank you

Mathematics
1 answer:
horsena [70]3 years ago
3 0

Answer:

1 2/5 or 1.40 are the awnsers

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What is the value of log0.5 16 (0.5 is the small bottom number)<br>-4.00<br>-0.25<br>1.51<br>2.41
eduard

we are given

log_0_._5(16)

Firstly, we will factor out 16

16=2\times 2\times 2\times 2\times 2

16=2^4

we can write it as

16=(\frac{1}{2})^{-4}=(0.5)^{-4}

we can replace it as

log_0_._5(16)=log_0_._5((\frac{1}{2})^{-4})

now, we can use property of log

log_a(b^n)=nlog_a(b)

we get

log_0_._5(16)=-4log_0_._5(0.5)

log_0_._5(16)=-4\times 1

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