December 13, 2019, 04:27:44 am

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#### TyranT

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##### Few questions need help with
« on: July 23, 2019, 05:59:16 am »
0
I have 3 questions i have attached. If anyone could help me with them, it would be much appreciated.

Thanks.

#### laura_

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##### Re: Few questions need help with
« Reply #1 on: July 23, 2019, 06:59:47 am »
+5
Only in Year 10, so could not figure out 11, but question 10 just relies on using the log laws.

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#### TyranT

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##### Re: Few questions need help with
« Reply #2 on: July 23, 2019, 04:47:40 pm »
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Thanks alot!

#### fun_jirachi

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##### Re: Few questions need help with
« Reply #3 on: July 23, 2019, 05:27:37 pm »
+3
Just to tack on to laura_'s answer, Q11 requires a little more manipulation.

Note that for any real positive numbers a, x and y, that if:
$y=a^x, \ \text{then} \ x=\log _a y$
Hence, 2=log24, since 22=4. The key here is working towards using the same log law demonstrated in Q10 ie. ln(a)+ln(b)=ln(ab) by utilising the same log base for both expressions.

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#### SmellsLikeTeenSpirit

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##### Re: Few questions need help with
« Reply #4 on: July 30, 2019, 03:04:04 pm »
+1
Hi Tyrant,
Sorry for the delay. The step-by-step solutions are attached. Hope this may help.
Cheers