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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,242

Hi ganesh;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,373

Hi bobbym,

#1628. What is log[sub]3[/sub]27?

Character is who you are when no one is looking.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,518

Hi ganesh

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,373

Hi anonimnystefy,

The solution #1628 is correct. Neat job!

#1629. Evaluate : log[sub]100[/sub](0.01)

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,242

Hi ganesh;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

**Online**

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,373

Hi bobbym,

The solution #1629 is correct. Excellent!

#1630. If log 27 = 1.431, then what is the value of log 9?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,242

Hi ganesh;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

**Online**

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,373

Hi bobbym,

The solution #1630 I get is

#1631. If log [sub]10[/sub]2 = 0.3010, then what is the value of log [sub]2[/sub] 10?

Character is who you are when no one is looking.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,518

Hi ganesh

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,242

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,373

Hi anonimnystefy and bobbym,

The solution #1631 is correct. Good work!

#1632. If log 2 = 0.3010 and log 3 = 0.4771, then what is the value of log[sub]5[/sub]512?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,242

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,373

Hi bobbym,

The solution #1632 is correct. Neat job!

#1633. If log 2 = 0.30103 find the number of digits in 4[sup]50[/sup].

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,242

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,518

Hi ganesh

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,373

Hi bobbym and anonimnystefy,

The solution is

Neat work, bobbym!

#1634. If log 2 = 0.30103, find the number of digits of 5[sup]20[/sup].

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,242

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,373

Hi bobbym,

The solution #1634 is correct. Neat work!

#1635. Evaluate :

(i) log[sub]7[/sub]1

(ii) log[sub]34[/sub]34

(iii)

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,242

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,373

Hi bobbym,

The solutions (all the three parts) are correct. Good work!

#1636. The speed of a boat in still water in 11 kilometers per hour and the rate of current is 4 kilometers per hour. Find the distance traveled downstream in 16 minutes.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,242

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,373

Hi bobbym,

The solution #1636 is perfect. Neat job!

#1637. A cistern is filled by pipe A is 9 hours and the cistern can be leaked out by an exhaust pipe B in 10 hours. If both the pipes are opened, in what time would the istern be full?

Character is who you are when no one is looking.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,518

Hi ganesh

Here lies the reader who will never open this book. He is forever dead.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,242

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,373

Hi anonimnystefy and bobbym,

The solution #1637 is correct. Good work!

#1638. Taps A and B can fill a bucket in 10 minutes and 15 minutes respectively. If both pipes are opened and A is closed after 3 minutes, how much further time would it take for B to fill the bucket?

Character is who you are when no one is looking.

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