Question

Tìm x biết

\(\left(\frac{3}{4}\right)^x\)= \(\left(\frac{9}{16}\right)^4\)

Answer 1

\(\left(\frac{3}{4}\right)^x=\left(\frac{9}{16}\right)^4\)

\(\left(\frac{3}{4}\right)^x=\left[\left(\frac{3}{4}\right)^2\right]^4\)

\(\left(\frac{3}{4}\right)^x=\left(\frac{3}{4}\right)^8\)

\(=>x=8\)

Answer 2

\(\left(\frac{3}{4}\right)^x=\left(\frac{9}{16}\right)^4\)

\(\Leftrightarrow\left(\frac{3}{4}\right)^x=\left(\frac{3^2}{4^2}\right)^4\)

\(\Leftrightarrow\left(\frac{3}{4}\right)^x=\left[\left(\frac{3}{4}\right)^2\right]^4\)

\(\Leftrightarrow\left(\frac{3}{4}\right)^x=\left(\frac{3}{4}\right)^8\)

\(\Rightarrow x=8\)

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Answer 3

ta có:

\(\left(\frac{3}{4}\right)^x=\left(\frac{9}{16}\right)^4\)

\(\Rightarrow\left(\frac{3}{4}\right)^x=\left[\left(\frac{3}{4}\right)^2\right]^4\)

\(\Rightarrow\left(\frac{3}{4}\right)^x=\left(\frac{3}{4}\right)^8\Rightarrow x=8\)

chúc bạn học tốt nhé!!