решить уравнение: 3“х-3“1-х＝0 8“2х-1＝2√2 4“2х-1＝16. Created by taina212. matematika-ru

2x=1, x=0,5.6x-2=1,5. 6x=4,5x=4,5:6x=0,752x-1=2. x=1,5

решить уравнение: 3“х-3“1-х＝0 8“2х-1＝2√2 4“2х-1＝16...

taina212 @taina212

August 2022 1 8 Report

решить уравнение:
3“х-3“1-х＝0
8“2х-1＝2√2
4“2х-1＝16

Answers & Comments

kirichekov

Verified answer

$3^{x} -3^{1-x}=0$
$3^{x} ^{( 3^{x} } - \frac{ 3^{1} }{ 3^{x} } =0$
$\frac{ ( 3^{x} )^{2}-3 }{ 3^{x} }=0$
$\left \{ {{ 3^{x} \neq 0 } \atop { 3^{2x}= 3^{1} }} \right.$
2x=1, x=0,5.

$8^{2x-1} =2* \sqrt{2}$

$( 2^{3} )^{2x-1}= 2^{1+ \frac{1}{2} }$
$2^{6x-3} = 2^{1,5}$
6x-2=1,5. 6x=4,5
x=4,5:6
$\frac{9}{2} :6= \frac{9}{2*6} = \frac{3}{4}=0,75$
x=0,75

$4^{2x-1}=16



 4^{2x-1} = 4^{2}$
2x-1=2. x=1,5

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