How to solve x in this equation!

Question 1

Question 2

$\huge \bf༆ Answer ༄$

Let's solve ~

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf4 {}^{ ( 3 )/(4) } * 2 {}^{ {x}^{} } = 16 {}^{ (2)/(5) }$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf(2 {}^(2) ) {}^{ ( 3 )/(4) } * 2 {}^{ {x}^{} } =( 2 {}^(4)) {}^{ (2)/(5) }$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf2 {}^{} {}^{ ( 3 )/(2) } * 2 {}^{ {x}^{} } =2 {}^{} {}^{ (8)/(5) }$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf2 {}^{} {}^{( ( 3 )/(2) + } {}^{ {x)}^{} } =2 {}^{} {}^{ (8)/(5) }$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf (3)/(2) + x = (8)/(5)$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf x = (8)/(5) - (3)/(2)$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf x = (16 - 15)/(10)$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf x = (1)/(10) \: \: or \: \: \: 0.1$

Question 3

Answer:

x = 1/10

Explanation:

$2^(x) = 2^{(8)/(5) } / 2^{(6)/(4) }$

2^(x) =
$2^{(8)/(5)-(6)/(4) }$

2^(x) =
$2^{(1)/(10) }$

x = (1)/(10)

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