Answer this question pls
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Anti log ( 1 . 9387) = 8.684/10
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Anti log ( 4.9387) = find
Answers
Given : Anti log ( 1 . 9387) = 8.684/10
To find : Anti log ( 4.9387) =
Solution:
As per Question
Anti log ( 1 . 9387) = 8.684/10
Anti log ( 4 . 9387)
= Anti log (3 + 1 . 9387)
= 10³ × Anti log ( 1 . 9387)
= 10³ × 8.684/10
= 868.4
another way
Anti log ( 4 . 9387) = x
Taking log both sides
=> 4.987 = logx
=> 3 + 1.987 = log x
=> log 10³ + 1.987 = log x
=> 1.987 = log x - log 10³
=> 1.987 = log ( x/ 10³)
Taking antilog both sides
=> antilog (1.987) = x/10³
=> 10³ * 8.684/10 = x
=> Anti log ( 4.9387) = 10³ * 8.684/10
__________________
But
In actual Anti log ( 1 . 9387) = 8.684 × 10
Anti log ( 4 . 9387)
= Anti log (3 + 1 . 9387)
= 10³ × Anti log ( 1 . 9387)
= 10³ × 8.684 × 10
= 868.4 × 10⁴
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