Question

calculate log 6.2 without using
log table​

Answer 1

Answer:

The natural logarithm of 6.2 is 1.824549292051 or ln(6.2) = 1.824549292051.

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Answer 2

To calulate

lg(6.2) without log table.

We can do the following:

First, we can easily say that

$[lg(6.2)] = 0$

since, 10⁰ < 6.2 < 10¹

Now, we need to calculate (6.2÷10⁰)¹⁰ which is

$(6.2) ^{10} = 83929936 \frac{5730801}{9765625}$

As, 6.2¹⁰ has 8 digits as its integers. If you know how to use log table then you may relate this

So, The value of lg(6.2) ≈ 0.7

Similarly, (8.3929926)¹⁰≈ 1734478494.4

So, lg(6.2) ≈ 0.79

(1.7344784944)¹⁰ ≈ 246.4

THEREFORE,

log₁₀(6.2) ≈ 0.792...