PRECISANDO DE AJUDA!!!OBRIGADA!!
Anexos:
![](https://pt-static.z-dn.net/files/d81/912891bde8e0313f3160a2d4fe6cbf89.jpg)
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Soluções para a tarefa
Respondido por
1
a)
![log_3N=5s\Rightarrow N=3^{5s}\\
\\
log_{\frac{1}{3}}N^3=3log_{\frac{1}{3}}3^{5s}=3.5slog_{\frac{1}{3}}3=15s.9.(-1)=-135S log_3N=5s\Rightarrow N=3^{5s}\\
\\
log_{\frac{1}{3}}N^3=3log_{\frac{1}{3}}3^{5s}=3.5slog_{\frac{1}{3}}3=15s.9.(-1)=-135S](https://tex.z-dn.net/?f=log_3N%3D5s%5CRightarrow+N%3D3%5E%7B5s%7D%5C%5C%0A%5C%5C%0Alog_%7B%5Cfrac%7B1%7D%7B3%7D%7DN%5E3%3D3log_%7B%5Cfrac%7B1%7D%7B3%7D%7D3%5E%7B5s%7D%3D3.5slog_%7B%5Cfrac%7B1%7D%7B3%7D%7D3%3D15s.9.%28-1%29%3D-135S)
B)
![log_3x+log_9x=1\\
\\
log_3x+\frac{log_3x}{log_39}=1\\
\\
log_3x+\frac{log_3x}{2}=1\\
\\
log_3x=y\\
\\
y+\frac{y}{2}=1\\
\\
2y+y=2\\
\\
3y=2\\
\\
y=\frac{2}{3}\\
\\
log_3x=\frac{2}{3}\Rightarrow x=(\frac{2}{3})^3
log_3x+log_9x=1\\
\\
log_3x+\frac{log_3x}{log_39}=1\\
\\
log_3x+\frac{log_3x}{2}=1\\
\\
log_3x=y\\
\\
y+\frac{y}{2}=1\\
\\
2y+y=2\\
\\
3y=2\\
\\
y=\frac{2}{3}\\
\\
log_3x=\frac{2}{3}\Rightarrow x=(\frac{2}{3})^3](https://tex.z-dn.net/?f=log_3x%2Blog_9x%3D1%5C%5C%0A%5C%5C%0Alog_3x%2B%5Cfrac%7Blog_3x%7D%7Blog_39%7D%3D1%5C%5C%0A%5C%5C%0Alog_3x%2B%5Cfrac%7Blog_3x%7D%7B2%7D%3D1%5C%5C%0A%5C%5C%0Alog_3x%3Dy%5C%5C%0A%5C%5C%0Ay%2B%5Cfrac%7By%7D%7B2%7D%3D1%5C%5C%0A%5C%5C%0A2y%2By%3D2%5C%5C%0A%5C%5C%0A3y%3D2%5C%5C%0A%5C%5C%0Ay%3D%5Cfrac%7B2%7D%7B3%7D%5C%5C%0A%5C%5C%0Alog_3x%3D%5Cfrac%7B2%7D%7B3%7D%5CRightarrow+x%3D%28%5Cfrac%7B2%7D%7B3%7D%29%5E3%0A)
B)
geiselucid:
Obrigada!
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