a)
[tex]\begin{aligned} \sf (3^x)^x &= \sf 81 \\ \sf \not\!3^{x^2} &= \sf \not\!3^4 \\ \sf x^2 &= \sf 4 \\ \sf x&= \sf \sqrt{4} \\ \sf x &= \sf 2\end{aligned}[/tex]
b)
[tex]\begin{aligned} \sf \frac{1}{64} \times 4^x \times 2^x &= \sf 64 \\ \sf \frac{1}{2^6} \times (2^2)^x \times 2^x &= \sf 2^6 \\ \sf 2^{-6} \times 2^{2x} \times 2^x &= \sf 2^6 \\ \sf \not\!2^{-6 + 3x} &= \sf \not\!2^6 \\ \sf -6 + 3x &= \sf 6 \\ \sf 3x &= \sf 6 + 6 \\ \sf 3x &= \sf 12 \\ \sf x &= \sf \frac{12}{3} \\ \sf x &= \sf 4\end{aligned}[/tex]
⌗SDaze ⋆࿐໋₊
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a)
[tex]\begin{aligned} \sf (3^x)^x &= \sf 81 \\ \sf \not\!3^{x^2} &= \sf \not\!3^4 \\ \sf x^2 &= \sf 4 \\ \sf x&= \sf \sqrt{4} \\ \sf x &= \sf 2\end{aligned}[/tex]
b)
[tex]\begin{aligned} \sf \frac{1}{64} \times 4^x \times 2^x &= \sf 64 \\ \sf \frac{1}{2^6} \times (2^2)^x \times 2^x &= \sf 2^6 \\ \sf 2^{-6} \times 2^{2x} \times 2^x &= \sf 2^6 \\ \sf \not\!2^{-6 + 3x} &= \sf \not\!2^6 \\ \sf -6 + 3x &= \sf 6 \\ \sf 3x &= \sf 6 + 6 \\ \sf 3x &= \sf 12 \\ \sf x &= \sf \frac{12}{3} \\ \sf x &= \sf 4\end{aligned}[/tex]
⌗SDaze ⋆࿐໋₊