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Byju's Answer
Standard IX
Mathematics
Conversion of Numbers Using Logarithms
Which of the ...
Question
Which of the following statements is true?
A
log 0 = 1
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B
log 100 = 1
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C
log 10 = 2
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D
log 1 = 0
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Similar questions
Q.
Which of the following statements are true?
(i) 0 ÷ 4 = 0
(ii) 0 ÷ (−7) = 0
(iii) −15 ÷ 0 = 0
(iv) 0 ÷ 0 = 0
(v) (−8) ÷ (−1) = −8
(vi) −8 ÷ (−2) = 4
Q.
Solve the following inequality:
log
√
2
(
5
x
−
1
)
log
√
2
2
√
2
5
x
−
1
>
2
Q.
Find the domain and range of
f
(
x
)
=
sin
−
1
(
log
[
x
]
)
+
log
(
sin
−
1
[
x
]
)
,
where
[
⋅
]
denotes the greatest integer function
Q.
l, m, n are the
p
t
h
,
q
t
h
and
r
t
h
term of a G.P., all positive, then
∣
∣ ∣
∣
l
o
g
l
p
1
l
o
g
m
q
1
l
o
g
n
r
1
∣
∣ ∣
∣
equals
Q.
Discuss the continuity of the following functions at the indicated point(s):
(i)
f
x
=
x
cos
1
x
,
x
≠
0
0
,
x
=
0
at
x
=
0
(ii)
f
x
=
x
2
sin
1
x
,
x
≠
0
0
,
x
=
0
at
x
=
0
(iii)
f
x
=
(
x
-
a
)
sin
1
x
-
a
,
x
≠
a
0
,
x
=
a
at
x
=
a
(iv)
f
x
=
e
x
-
1
log
(
1
+
2
x
)
,
if
x
≠
a
7
,
if
x
=
0
at
x
=
0
(v)
f
x
=
1
-
x
n
1
-
x
,
x
≠
1
n
-
1
,
x
=
1
n
∈
N
at
x
=
1
(vi)
f
x
=
x
2
-
1
x
-
1
,
for
x
≠
1
2
,
for
x
=
1
at
x
=
1
(vii)
f
x
=
2
x
+
x
2
x
,
x
≠
0
0
,
x
=
0
at
x
=
0
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