Question

find the 2^3-log2 ^7​

Answer 1

Step-by-step explanation:

${2}^{3} - log( {2}^{7} )$

$= {2}^{3} - 7 log(2)$

$= 8 - 7 \times 0.301$

$= 8 - 2.107$

$= 5.893$

Answer 2

The value of 2³-log 2⁷ is 5.893

Given problem:

Find the value of 2³- log 2⁷

Solution:

Given  2³- log 2⁷  

As we know log xⁿ = n log x from this log 2⁷ = 7 log 2

⇒   2³- log 2⁷

 = 2³- 7 log 2  

 = 8 - 7 (0.301)   [ ∵ log 2 = 0.301  and 2³ = 8 ]

 = 8 - 2.107  

 = 5.893

Therefore, the value of 2³-log 2⁷  = 5.893

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