Mathematics: Rewrite log₅(x+3) into an equivalent expression using only natural logs

Rewrite log₅(x+3) into an equivalent expression

Ответ:

Chris3529

16.03.2022

Mathematics

Step-by-step explanation:

log₅(x+3) = Log(x+3)/ Log5natural log is : Log or loge

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Ответ:

haleyzoey7

05.06.2022

Mathematics

You didn't mention if it is to simplify or to factorize. So have done both.

Step-by-step explanation:

$If \ a = \frac{1}{3}x \ , \ b = \frac{2}{5}y , \ then \ the \ expression \ is \ of \ the \ form \ a^2 - 2ab + b^2$ $which \ is \ (a - b)^2$ .

So if you want to expand :

$(\frac{1}{3}x)^2 - 2 (\frac{1 \times x}{3})(\frac{2 \times y}{5}) + (\frac{2}{5}y)^2$ $=\frac{x^2}{9} - \frac{4xy}{15} + \frac{4y^2}{25}$

If it is to factorize :

$(\frac{1}{3}x)^2 - 2 (\frac{1 \times x}{3})(\frac{2 \times y}{5}) + (\frac{2}{5}y)^2 = (\frac{1}{3}x-\frac{2}{5}y)(\frac{1}{3}x - \frac{2}{5}y)=(\frac{1}{3}x - \frac{2}{5}y)^2$

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Rewrite log₅(x+3) into an equivalent expression using only natural logs

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