### Surds, Log and Indices

An interesting question showing these 3 topics can be tested in a single question

Question

Express as

i) Hence show that

ii) Given that , prove that

Techniques tested

Answer

Technique used: Rationalization

i)

Techniques used:

Indices:

Power Law:

From LHS

ii)

This part of the question requires us to use the Substitution technique

Using the quadratic formula,

Recall that

therefore

Technique used: Taking log on both sides

Recall that in part (i) we showed that

Interesting question, dont you think ?

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For a revision of surds, click here

For a revision of logarithms, click here

For a revision of indices, click here

Question

Express as

i) Hence show that

ii) Given that , prove that

Techniques tested

- Rationalization
- Indices:
- Power Law:

Answer

Technique used: Rationalization

i)

Techniques used:

Indices:

Power Law:

From LHS

ii)

This part of the question requires us to use the Substitution technique

Using the quadratic formula,

Recall that

therefore

Technique used: Taking log on both sides

Recall that in part (i) we showed that

Interesting question, dont you think ?

For more interesting questions subscribe to my blog by entering your email address at the top right hand corner

Have an interesting question to share? send me an email at yapye at (@) yahoo dot com dot sg

For a revision of surds, click here

For a revision of logarithms, click here

For a revision of indices, click here

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