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

Mathematics

1 answer:

Karolina [17]3 years ago

5 0

Answer:

$\large\boxed{x=-\dfrac{2}{3}}$

Step-by-step explanation:

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

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