Question

Find the value of A that makes the following equation true for all values of x. 2^x=A^(x/12)

Answer 1

Explanation:

`2 {}^(x) = a {}^{ (x)/(12) }`

`2 {}^(x) = a {}^{ (1)/(12) * x}`

`2 = a {}^{ (1)/(12) }`

`ln(2) = (1)/(12) * ln(a)`

`12 ln(2) = ln(a)`

`e {}^(12 ln(2) ) = e {}^( ln(a) )`

`2 {}^(12) = a`