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If log2 = 0.3010 and 3=0.4771, the value of log5 512 is?
If log2 = 0.3010 and 3=0.4771, the value of log5 512 is?
3.876
3.89
3.987
3.098
Explanation
l
o
g
5
5
1
2
=
l
o
g
5
l
o
g
5
1
2
=
l
o
g
(
1
0
/
2
)
l
o
g
2
9
=
l
o
g
1
0
−
l
o
g
2
9
l
o
g
2
=
1
−
0
.
3
0
1
0
9
×
0
.
3
0
1
0
=
0
.
6
9
9
2
.
7
0
9
=
6
9
9
2
7
0
9
=
3
.
8
7
6