`8^(-2 - x) = 431` Solve the exponential equation algebraically. Approximate the result to three decimal places.

loves2learn | Student

Take the ln of both sides

`ln(8^(-2-x))=ln431 `

Bring down the exponent

`(-2-x)ln8=ln431 `

`-2-x=ln431/ln8 `

`-x=ln431/ln8+2 `

`x=-4.917 `