Lg 5= 0.7 then what will be lg 125?
回答 (2)
2016-06-21 10:11 am
lg(125)
= lg(5³)
= 3 lg(5)
= 3 × 0.7
= 2.1
= lg(5³)
= 3 lg(5)
= 3 × 0.7
= 2.1
2016-06-21 10:32 am
lg (a) 5 = 0.7
Antilogging
a = 5^(0.7)
a = 3.0851693136000481828532758096395
a = 3.085 (3.d.p.) (The 'log# base).
Hence
lg(3.085) 125 = x
Change the log base to '10'
log(10) 125 / log(10) 3.085... = x
2.0969... / 0.4849... = x
x = 4.28592307....
x = 4,286 ( 3 d.p.)
Antilogging
a = 5^(0.7)
a = 3.0851693136000481828532758096395
a = 3.085 (3.d.p.) (The 'log# base).
Hence
lg(3.085) 125 = x
Change the log base to '10'
log(10) 125 / log(10) 3.085... = x
2.0969... / 0.4849... = x
x = 4.28592307....
x = 4,286 ( 3 d.p.)
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