Mathematics: A. -In х 5 equals what?

ANSWERThe true solution is EXPLANATIONThe logarithmic equation given to us is We need to use the quotient rule of logarithms.When we apply this law the expression becomes We now take the antilogarithm of both sides to get We square both sides to get,We evaluate to obtain,This simplifies toWe divide both sides by 36 to getWe simplify to get,...

A. -In х 5 equals what? - id59744645, koolja3

Ответ:

jgee13

12.12.2020

Mathematics

x=5?

idk what ur asking

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Ответ:

xxtonixwilsonxx

30.11.2022

Mathematics

ANSWER

The true solution is

$x = \frac{4}{9}$
EXPLANATION

The logarithmic equation given to us is

$log_{2}(6x) - log_{2}( \sqrt{x} ) = 2$

We need to use the quotient rule of logarithms.

$log_{a}( M ) - log_{a}( N ) = log_{a}( \frac{ M }{ N } )$

When we apply this law the expression becomes

$log_{2}( \frac{6x}{ \sqrt{x} } ) = 2$

We now take the antilogarithm of both sides to get

$\frac{6x}{ \sqrt{x} } = {2}^{2}$

$\frac{6x}{ \sqrt{x} } = 4$

We square both sides to get,

$(\frac{6x}{ \sqrt{x} }) ^{2} = {4}^{2}$

We evaluate to obtain,

$\frac{36 {x}^{2} }{ x } = 16$

This simplifies to

36x = 16

We divide both sides by 36 to get

$x = \frac{16}{36}$
We simplify to get,
$x = \frac{4}{9}$

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A.
-In
х
5
equals what?

Ответ:

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