Question

what is value of log 1.6​

Answer 1

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0.2

step-by-step explanation:

log (1.6)

= log(16/10)

Now, we know that,

log(m/n) = log m - log n

So,

log (16/10)

= log 16 - log 10

= log (4×4) - log 10

But, we know that,

log mn = log m + log n

So,

putting the value in the formula,

we get,

= log 4 + log 4 - log 10

= 2(log 4 )- log 10

= 2× (0.6) - 1

(°.° log 4 = 0.6 and log 10 = 1 )

= 1.2 - 1

= 0.2

Answer 2

log1.6 = log(16/10)

= log16 - log 10

= 2log4 - log10

= 2(0.6020) - 1

{ since log4 =0.6020 & log10 = 1 }

= 1.2040 - 1

= 0.2040