Question

find x if 16×2to the power 2x+1=128​

Answer 1

Answer:

The ans is 2

Hope it helps you

Answer 2

Given:-

• $\sf{16\times 2^{2x+1}=128.}$

To Find:-

• The value of x .

Answer:-

Taking the given equⁿ :

$\sf{\implies 16\times 2^{2x+1}=128.}$

$\sf{\implies 2^4\times 2^{2x+1}=128 .}$

$\sf{\implies 2^{4+2x+1}=2^7.}$

$\sf{\implies 2^{5+2x}=2^7.}$

On comparing the bases:

$\sf{\implies 5+2x = 7.}$

$\sf{\implies 2x = 7-5.}$

$\sf{\implies 2x =2.}$

$\sf{\implies x =\dfrac{2}{2}.}$

$\underline{\boxed{\red{\bf{\leadsto x =1.}}}}$

Hence the value of x is 1.