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1) Given that a = log(10)2 and b = log(10)3, find the expressions in terms of a and b for [(10) meaning a small 10]

a) log(10)1.5

b) log(10)24

c) log(10)150

Ive worked out a) which is b/a and Ive worked out b) aÂ³b (not entirely sure if thats right) but I'm having trouble with trying to find the figures for c)

a) log(10)1.5

b) log(10)24

c) log(10)150

Ive worked out a) which is b/a and Ive worked out b) aÂ³b (not entirely sure if thats right) but I'm having trouble with trying to find the figures for c)

lilydelarocks

1) Given that a = log(10)2 and b = log(10)3, find the expressions in terms of a and b for [(10) meaning a small 10]

a) log(10)1.5

a) log(10)1.5

Here

lilydelarocks

OH yes I forgot bout that..I've just taught myself this topic as I was never taught this by a teacher so Im more likely to make mistakes with this topic...

Unfortunately for me, I've been set homework to do a whole sheet on Exponentials and Logarithms..

Unfortunately for me, I've been set homework to do a whole sheet on Exponentials and Logarithms..

I think you should have been given log(10) 5

lilydelarocks

OK thanks guys..

But Im stuck on another question:

4log(3)x - 5 = 0

..

But Im stuck on another question:

4log(3)x - 5 = 0

..

If you want x then the answer is 3.948(3 d.p)

lilydelarocks

OK Thanks

Sorry to bother you guys again on this topic..

but i have another question:

log(3)xÂ³ - 5log(3)x = 4

Is this right?

log(3)xÂ³/5log(3)x = 4

1/5xÂ² = 4

xÂ² = 20

x = 4.472135955

Sorry to bother you guys again on this topic..

but i have another question:

log(3)xÂ³ - 5log(3)x = 4

Is this right?

log(3)xÂ³/5log(3)x = 4

1/5xÂ² = 4

xÂ² = 20

x = 4.472135955

No. The answer 1/9

Many calculators can work out logs in different bases. e.g casio fx 83ES So you can check your answers.

ukgea

log(10) 5 = 1 - log(10) 2

Clever. Using your hint I have done it slightly different.

lilydelarocks

Oh ok thanks..man I'm going to really struggle with this worksheet and this whole topic in general ...

Do you know about MathsNet ?

http://www.mathsnet.net/asa2/2004/c25loglaws_1.html

I don't even have an idea of how to work out this question:

An initial investment of Â£1000 is places into a savings account that offers 2.2% interest every 3 months. The amount of money in the account Â£P, at the end of t years is fiven by

P = 1000 X 1.022 ^(4t) ....( and that's a mutiply sign btw)

Find, to the nearest year, how long it will take for the investment to double in value. (4 marks)

An initial investment of Â£1000 is places into a savings account that offers 2.2% interest every 3 months. The amount of money in the account Â£P, at the end of t years is fiven by

P = 1000 X 1.022 ^(4t) ....( and that's a mutiply sign btw)

Find, to the nearest year, how long it will take for the investment to double in value. (4 marks)

lilydelarocks

I don't even have an idea of how to work out this question:

An initial investment of Â£1000 is places into a savings account that offers 2.2% interest every 3 months. The amount of money in the account Â£P, at the end of t years is fiven by

P = 1000 X 1.022 ^(4t) ....( and that's a mutiply sign btw)

Find, to the nearest year, how long it will take for the investment to double in value. (4 marks)

An initial investment of Â£1000 is places into a savings account that offers 2.2% interest every 3 months. The amount of money in the account Â£P, at the end of t years is fiven by

P = 1000 X 1.022 ^(4t) ....( and that's a mutiply sign btw)

Find, to the nearest year, how long it will take for the investment to double in value. (4 marks)

This is a hint, while I figure out what is needed....

lilydelarocks

.

I guess I have been beaten.

Edit: You can use ln or log base 10 or any other logarithm base. Most calculators can work out natural logs and logs to base 10.

- Math Help
- Do you use logarithms, matrices and exponentials in algorithms?
- What youtubers or websites are great to start learning logoithmic functions? Maths
- Econ help - Finding the market Equilibrium
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- a level math logs question
- Bristol Maths Test for Engineering Courses
- My grow your grades journal ðŸŽ€ ~ as a year 12
- Lse Economics and Economic historyâ€¦help please
- Second undergrad - Liv Uni / Carmel College
- How fast does higher maths go?
- Arhenius equation chem a-level
- Can I do A level Physics ?
- Personal statement for Oxford
- What A-level maths skills are required in A-level chemistry and biology?
- What should I do between now and September to prepare for University.
- 10 weeks going from C to A* - Alevel
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- Senior Physics Challenge 2022
- Intergrate

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