Question

find the value of log 1/16 base 2

Answer 1

Answer:

=>log 1/16 base 2

16 can be written as 2⁴

then,

=>log 1/2⁴ base 2

1/2⁴ can be written as 2‐⁴

so,

=>log 2‐⁴ to base 2

=>log 2-⁴ can be written as -4log2 because,

[ log a power m = m log a]

=> -4 log 2 base 2

=> (-4) [ log a power a= 1]

Hope it helps you......

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