Question

. If x=72/2x than value of x​

Answer 1

Step-by-step explanation:

(2^x+4^x)=72

4 can be written as 2^2

So,(2^x+(2^2)^x)=72

By power rule of exponents,

(2^x+2^2x)=72

Let (2^x) be a

So, (a+a^2)=72

On rearranging it becomes a quadratic equation

a^2+a-72=0

a^2+9a-8a-72=0

a(a+9)-8(a+9)=0

(a-8)(a+9)=0

Therefore,

a-8=0

a=8

Since a=2^x

2^x=8

2^x=2^3

Thus

x=3

(a+9)=0

a=-9

2^x=-9,which is impossible. So we reject this option

So, finally x=3

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Answer 2

Answer:

36

Step-by-step explanation:

72/2 = x

36 = x