1) Find the characteristic of logarithms of the following numbers:
i) 538.6
ii) 712400
ii)0.00064
iv) 0.00000345
needed quickly very important plz
Answers
Given : i) 538.6
ii) 712400
ii)0.00064
iv) 0.00000345
To Find : characteristic of logarithms of numbers
Solution:
538.6
100 < 538.6 < 1000
=> 10² < 538.6 < 10³
2 < log (538.6
) < 3
Hence characteristic of log (538.6
) = 2
100000 < 712400 < 1000000
=> 10⁵ < 712400 < 10⁶
5 < log (712400
) < 6
Hence characteristic of log (712400
) = 5
0.00064
0.00010 <0.00064 < 0.00100
=> 0.0001 <0.00064 < 0.001
=> 10⁻⁴ <0.00064 < 10⁻³
-4 < log (0.00064)) < -3
Hence characteristic of log (0.00064) = -4
0.00000345
0.00000100 <0.00064 < 0.00001000
0.000001 <0.00064 < 0.00001
=> 10⁻⁶ <0.00064 < 10⁻⁵
-6 < log (0.00064) < -5
Hence characteristic of log (0.00000345) = -6
Learn More:
Evaluate the following using log tables.(57.8)^1/2 × (0.0027)^1/3
https://brainly.in/question/23909207
log (128/625) expand the following - Brainly.in
https://brainly.in/question/315333
Step-by-step explanation:
i. 538.6
no of numbers before the decimal - 1
3-1 =2
ii . 712400
6-1 =5
iii 0.00064
- (no of zeros after the decimal +1 )
-(3+1) = -3-1 = -4
iv 0.00000345
-(5+1)
-5-1 = -6