Question

(2/3)^x=(27/8)

Answer 1

x=-3 and math IS fun

Answer 2

Thank you. I would like math to be fun to me too!

Answer 3

Well if you put some time to it, it will be.

Answer 4

you are 100% right.

Answer 5

\(\bf \left(\cfrac{2}{3}\right)^x=\cfrac{27}{8}\qquad \qquad 27=3^3\qquad 8=2^3\\ \quad \\

\cfrac{2^x}{3^x}=\cfrac{3^3}{2^3}\qquad recall\quad \cfrac{a}{b}\implies \cfrac{b^{-1}}{a^{-1}}\implies \cfrac{\frac{1}{b}}{\frac{1}{a}}\implies \cfrac{a}{b}\quad thus\\ \quad \\
\cfrac{2^x}{3^x}=\cfrac{3^3}{2^3}\implies \cfrac{2^x}{3^x}=\cfrac{2^{-3}}{3^{-3}}
\)

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