Question

2^x2+5x=1/64

pls answer this question fastt

i need it rn​

Answer 1

The solutions are
`x=-2$ and $x=-3$`.

The given equation is
`$2^(x^2+5x)=(1)/(64)$`. We can write
`$(1)/(64)$` as
`$2^(-6)$`, so the equation becomes
`$2^(x^2+5x) = 2^(-6)$`.

Now we can equate the exponents on both sides to get
`$x^2+5x=-6$`.

Rearranging this equation, we get
`$x^2+5x+6=0$`.

This is a quadratic equation that can be factored as
`$(x+2)(x+3)=0$`.

Therefore, the solutions are
`x=-2$ and $x=-3$`.

Complete question:

Solve The Equation. (A) 2^x2+5x=1/64