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Byju's Answer
Standard IX
Mathematics
Logarithms
Change the fo...
Question
Change the following from exponential form to logarithmic form.
(i)
3
4
=
81
(ii)
6
−
4
=
1
1296
(iii)
(
1
81
)
3
4
=
1
27
(iv)
(
216
)
1
3
=
6
(v)
(
13
)
−
1
=
1
13
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Solution
(i)
3
4
=
81
⟹
log
3
81
=
4
(ii)
6
−
4
=
1
1296
⟹
log
6
(
1
1296
)
=
−
4
(iii)
(
1
81
)
3
4
=
1
27
⟹
log
1
81
(
1
27
)
=
3
4
(iv)
(
216
)
1
3
=
6
⟹
log
216
6
=
1
3
(v)
(
13
)
−
1
=
1
13
⟹
log
13
(
1
13
)
=
−
1
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Similar questions
Q.
Change the following from logarithmic form to exponential form.
(i)
log
4
64
=
3
(ii)
log
16
2
=
1
4
(iii)
log
5
(
1
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)
=
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(iv)
log
10
0.1
=
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Q.
Simplify:
(i)
1
3
-
3
-
1
2
-
3
÷
1
4
-
3
(ii)
3
2
-
2
2
×
2
3
-
3
(iii)
1
2
-
1
×
(
-
4
)
-
1
-
1
(iv)
-
1
4
2
-
2
-
1
(v)
2
3
2
3
×
1
3
-
4
×
3
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1
×
6
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1