Question

Tell the Answer of this question and I will mark you as brilliant​

Answer 1

Answer:

$x \: = \: 2$

Step-by-step explanation:

Given -

• ${4}^{x} + {4}^{x} + {4}^{x} = 48$

To find -

• $x$

Solution -

${4}^{x} + {4}^{x} + {4}^{x} = 48$

Taking ${4}^{x}$ common ,

$⟹{4}^{x}(1 + 1 + 1) = 48$

$⟹{4}^{x}(3) = 48$

$⟹{4}^{x} \times 3 = 16 \times 3$

Now dividing both sides by 3

$⟹ \large{\frac{\large {4}^{x} \times \cancel3}{ \large \cancel3} } = {\frac{ \large 16 \times \cancel3}{ \large \cancel3} }$

$⟹ {4}^{x} = 16$

$⟹ {4}^{x} = {4}^{2}$

On equating ,

$⟹ \green{ \boxed {x = 2}}$

Answer 2

Answer:

x=2

Step-by-step explanation:

Given -

{4}^{x} + {4}^{x} + {4}^{x} = 484

x

+4

x

+4

x

=48

To find -

xx

Solution -

{4}^{x} + {4}^{x} + {4}^{x} = 484

x

+4

x

+4

x

=48

Taking {4}^{x} 4

xx=2

Step-by-step explanation:

Given -

{4}^{x} + {4}^{x} + {4}^{x} = 484

x

+4

x

+4

x

=48

To find -

xx

Solution -

{4}^{x} + {4}^{x} + {4}^{x} = 484

x

+4

x

+4

x

=48

Taking {4}^{x} 4

x

common ,

⟹{4}^{x}(1 + 1 + 1) = 48⟹4

x

(1+1+1)=48

⟹{4}^{x}(3) = 48⟹4

x

(3)=48

⟹{4}^{x} \times 3 = 16 \times 3⟹4

x

×3=16×3

Now dividing both sides by 3

⟹ \large{\frac{\large {4}^{x} \times \cancel3}{ \large \cancel3} } = {\frac{ \large 16 \times \cancel3}{ \large \cancel3} }⟹

3

4

x

×

3

=

3

16×

3

⟹ {4}^{x} = 16 ⟹4

x

=16

⟹ {4}^{x} = {4}^{2} ⟹4

x

=4

2

On equating ,

⟹ \green{ \boxed {x = 2}}⟹

x=2

common ,

⟹{4}^{x}(1 + 1 + 1) = 48⟹4

x

(1+1+1)=48

⟹{4}^{x}(3) = 48⟹4

x

(3)=48

⟹{4}^{x} \times 3 = 16 \times 3⟹4

x

×3=16×3

Now dividing both sides by 3

⟹ \large{\frac{\large {4}^{x} \times \cancel3}{ \large \cancel3} } = {\frac{ \large 16 \times \cancel3}{ \large \cancel3} }⟹

3

4

x

×

3

=

3

16×

3

⟹ {4}^{x} = 16 ⟹4

x

=16

⟹ {4}^{x} = {4}^{2} ⟹4

x

=4

2

On equating ,

⟹ \green{ \boxed {x = 2}}⟹

x=2

Step-by-step explanation:

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