## what is the value of log0.5 16 (0.5 is the small bottom number) -4.00 -0.25 1.51 2.41

Question

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## Answers ( No )

Answer : -4.00what is the value of

We use log property to find the value

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

So we replace 16 by 2^4

As per log property we move exponent before log

0.5 can be written as 1/2 . 1/2 can be written as 2^-1

Now we apply change of base formula

Move the exponent -1 before log

log 2 will get cancelled

-4

-4.00 is the final answerwe are given

Firstly, we will factor out 16

we can write it as

we can replace it as

now, we can use property of log

we get

………….Answer