Question

8^2x=1/64
find the value of x
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Answer 1

$\\ \sf\hookrightarrow 8^{2x}=\dfrac{1}{64}$

$\\ \sf\hookrightarrow 8^{2x}=\dfrac{1}{8^2}$

$\\ \sf\hookrightarrow 8^{2x}=8^{-2}$

$\\ \sf\hookrightarrow 2x=-2$

$\\ \sf\hookrightarrow x=\dfrac{-2}{2}$

$\\ \sf\hookrightarrow x=-1$

Answer 2

Explanation:

8^2x= 1/64

8^2x= 8^-2

• if the power is equal then base is also equal

2x= -2

x= -1

Final Answer:

the value of x is -1