Question

resolva as seguintes equaçoes exponenciais a)2x=64 b)(0,5)x=4 elevado a 1-3x

Answer 1

$a) {2}^{x} = 64 \\ {2}^{x} = {2}^{6} \\ x = 6$
$b)( {0.5)}^{x} = {4}^{1 - 3x} \\ ( { \frac{1}{2} )}^{x} = {4}^{1 - 3x} \\ ( { {2}^{ - 1}) }^{x} = ( { {2}^{2} )}^{1 - 3x} \\ - x = 2(1 - 3x) \\ - x = 2 - 6x \\ - x + 6x = 2 \\ 5x = 2 \\ x = \frac{2}{5}$

Answer 2

2ˣ = 64

2ˣ = 2⁶

x = 6

( 0,5 )ˣ = 4 ¹ ⁻ ³ˣ

( 5/10 )ˣ = ( 2 ) ² ⁻ ⁶ˣ

( 1/2 ) ˣ = ( 2 ) ² ⁻ ⁶ˣ

( 2 ) ⁻ ˣ = ( 2 ) ² ⁻ ⁶ˣ

- x = 2 - 6x

- x + 6x = 2

5x = 2

x = 2/5