Question

What is the vaue of 2 log 7 base 2

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Answer 1

Answer:

log2(x) Notation Value

log2(6) lb(6) 2.584963

log2(7) lb(7) 2.807355

log2(8) lb(8) 3

log2(9) lb(9) 3.169925

Answer 2

The value is 1.25

GIVEN

Logarithm -

$2 log_{2}(7)$

TO FIND

The value of given logarithm

SOLUTION

We can simply solve the above problem as follows

We are given a logarithm-

$2 log_{2}(7)$

We can also write it as -

2 Log₂(7×1)

Applying the formula -

$log_{a}(c) = \frac{1}{ log_{c}(a) }$

Where,

c= 7

a = 1

Putting the values in the above formula -

$2 log_{2}(7) = 2 \times \frac{1}{ log_{7}(2) }$

$= 2 \times \frac{1}{0.8 \times 2}$

= 1.25

Hence, The value is 1.25

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