Question

Solve the exponential equation. 8x = 1/4 -2 -2/3 2/3

Answer 1

`\large\boxed{x=-(2)/(3)}`

Explanation:

`8^x=(1)/(4)\\==============\\\\8=2^3\\\\(1)/(4)=(1)/(2^2)=2^(-2)\\\\===============\\\\(2^3)^x=2^(-2)\qquad\text{use}\ (a^n)^m=a^(nm)\\\\2^(3x)=2^(-2)\iff3x=-2\qquad\text{divide both sides by 3}\\\\x=-(2)/(3)`