Question

Find the value of x if 2^(x+3) x 4^(2x-5) = 2^(3x+13)​

Answer 1

Step-by-step explanation:

he mate here your answer....

2^(x+3) *4^(2x-5)=2^(3x+13)

2^(x+3) * 2^(4x-10)=2^(3x+13)

2^(5x-7)=2^(3x+13)

5x-7. = 3x+13.

2x. = 20

x=10.

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Answer 2

$\huge \boxed{ \underline{ \underline{ \bf{Answer}}}}$

TO FIND :

Value of x.

$\sf{ \implies \: {2}^{( x+ 3)} \times {4}^{(2x - 5)} = {2}^{(3x + 13)} }$

$\sf{ \implies \: {2}^{( x + 3)} \times {2}^{2(2x - 5)} = {2}^{(3x + 13)} }$

As base are equal in L.H.S, so powers will add up.

$\sf{ \implies \: {2}^{( x + 3) + \: 2(2x - 5)} = {2}^{(3x + 13)}}$

$\sf{ \implies \: {2}^{(x + 3 + \: 4x - 10)} = {2}^{(3x + 13)}}$

$\sf{ \implies \: {2}^{( 5x -7)} = {2}^{(3x + 13)}}$

$\sf{ \implies \: 5x -7 = 3x + 13}$

$\implies \: \sf {5x - 3x = 13 + 7}$

$\implies \: \sf{2x = 20}$

$\implies \: \sf{x = 10}$

$\boxed{ \sf{Hence, \: the \: value \: of \: x \: is \: 10}}$