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2 years ago

31231802938102938x1923193819023

Mathematics

2 answers:

Komok [63]2 years ago

5 0

Answer:

6.006481e+28

Step-by-step explanation:

hope it helped

MA_775_DIABLO [31]2 years ago

4 0

<h2>Answer:</h2><h2>Your final answer is 6.006481e+28</h2><h2>Step-by-step explanation:</h2><h2></h2><h2>You just multiply.</h2><h2></h2><h2>Hope this helps, have a great day, stay safe, and positive.</h2><h2></h2><h2>:)</h2>

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2 years ago

ln(y+1)-lny=1+3lnx . Express y in terms of x, in a form not involving logarithms. (4 marks, Maths CIE A level)

Delicious77 [7]

$remember$
$ln(x)=log_e(x)$
$and$
$log_x(a)-log_x(b)= log_x( \frac{a}{b} )$
$and$
$log_a(b)=c$ means $a^c=b$
$and$
$blog(a)=log(a^b)$

$so$

$ln(y+1)-ln(y)=1+3ln(x)$
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$minus$ $ln(x^3)$ $from$ $both$ $sides$

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$translate$

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$e=\frac{y+1}{yx^3}$

$times$ $both$ $sides$ $by$ $yx^3$

$eyx^3=y+1$

$minus$ $y$ $from$ $both$ $sides$

$eyx^3-y=1$
$y(ex^3-1)=1$

$divide$ $both$ $sides$ $by$ $(ex³-1)$

$y= \frac{1}{ex^3-1}$

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