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-Dominant- [34]
4 years ago
10

What is the value of log0.5 16?

Mathematics
2 answers:
Morgarella [4.7K]4 years ago
6 0

Answer:

log_0.5(16)=-4

Step-by-step explanation:

log_0.5(16)

0.5 can be written as 1/2

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

We apply log property

log_{a^{-b}}(x)=\frac{1}{b}log_a(x)

so log_{2^{-1}}(16)=-1log_2(16)

Now  we write 16 in exponential form

16= 2*2*2*2 = 2^4

-1log_2(16)=-1log_2(2^4)

log a^m = m log (a),and log_a(a)= 1 Apply these properties

-1*4 log_2(2)

-1*4(1)= -4

melamori03 [73]4 years ago
4 0
 the answers is -4 ... i think
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