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Find the exact solution to: ln(x) + ln(7) = ln(21)

Log rules: log(a) + log(b) = log(ab) so, in this case, we must find x such that 7x = 21 thus x = 3 similarly, log(a) - log(b) = log(a/b) rearranging the original equation we get: ln(x) = ln(21) - ln(7) so x ...
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Answered by Bryan P. • Maths tutor
7824 Views

Write sqrt(50) in the form Asqrt(50) where A is an integer

Note that sqrt(ab)=sqrt(a)sqrt(b) Thus to have A, an integer, we must find the highest number 'a' that is a square number and is also a factor of 50. So, a=25 and b=2 (ab=25x2=50) and we have: sqrt(50) = sqr...
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Answered by Bryan P. • Maths tutor
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How can I improve my German vocabulary?

First of all, don't worry if you're feeling overwhelmed by the amount of German vocabulary you need to know – sometimes it can feel like quite a lot, especially if you haven't been learning the language all ...
JM
Answered by James M. • German tutor
3677 Views

What is the imperative and when should I use it?

The imperative form, known as the Befehlsform in German, is used to modify the verb when you are giving a command (including polite commands!). Sentences using the imperative are often followed by an exclama...
JM
Answered by James M. • German tutor
6790 Views

What is the difference in the standard and course quality between GCSE sport, to pursuing it in a degree.

I currently study Sport, Exercise and Physical Activity as a degree, after doing GCSE physical education for 2 years, BTEC sport for 2 years, A-Level physical education for a further two years and one year o...
AM
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