a) loga 144
b) loga 7200
c) loga ?32
d) loga
![\sqrt[3]{600} \sqrt[3]{600}](/latexrender/pictures/4a5c48f57e4945456d4a2a5be9e89071.png)
e) loga 36*
![\sqrt[4]{18} \sqrt[4]{18}](/latexrender/pictures/1b0b88f4687231b81aa08b727d7efb33.png)
f) loga
![\frac{\sqrt[]{3}}{200} \frac{\sqrt[]{3}}{200}](/latexrender/pictures/044e47340969f2005e6027849543039b.png)
Alguém poderia resolver, pelo menos, uma para que eu possa entender esse conceito? Sinceramente, eu não sei por onde começar!
![\sqrt[3]{600} \sqrt[3]{600}](/latexrender/pictures/4a5c48f57e4945456d4a2a5be9e89071.png)
![\sqrt[4]{18} \sqrt[4]{18}](/latexrender/pictures/1b0b88f4687231b81aa08b727d7efb33.png)
![\frac{\sqrt[]{3}}{200} \frac{\sqrt[]{3}}{200}](/latexrender/pictures/044e47340969f2005e6027849543039b.png)




![log (a, \sqrt[]{32})
\left({{2}^{5}}^{\frac{1}{2}} \right)
\left({2}^{\frac{5}{2}} \right)
\left(\frac{5}{2}*0,69 = 1,725 \right) log (a, \sqrt[]{32})
\left({{2}^{5}}^{\frac{1}{2}} \right)
\left({2}^{\frac{5}{2}} \right)
\left(\frac{5}{2}*0,69 = 1,725 \right)](/latexrender/pictures/b24675c13205f9ca5b0a178b430e6d12.png)


![\left(log (a, \sqrt[3]{600})\right)
\left({600}^{\frac{1}{3}} \right)
\left(1,09 + 3*0,69 + 2*1,61\right)
\left(6,38 * \frac{1}{3} = 2,126\right) \left(log (a, \sqrt[3]{600})\right)
\left({600}^{\frac{1}{3}} \right)
\left(1,09 + 3*0,69 + 2*1,61\right)
\left(6,38 * \frac{1}{3} = 2,126\right)](/latexrender/pictures/69c4eb6b42511bd347ef14f2063e0b20.png)

![log (a, 36*\sqrt[4]{18})
\left(36:2, 36:3 = 2*0,69 + 2*1,09 = 3,56 \right)
\left(18:2, 18:3, 0,69 + 2*1,09 = \frac{2,87}{4} = 0,7175 \right)
3,56 + 0,7175 = 4,2775 log (a, 36*\sqrt[4]{18})
\left(36:2, 36:3 = 2*0,69 + 2*1,09 = 3,56 \right)
\left(18:2, 18:3, 0,69 + 2*1,09 = \frac{2,87}{4} = 0,7175 \right)
3,56 + 0,7175 = 4,2775](/latexrender/pictures/4f2c7eb0450176bf441fcb40bf6678cd.png)

. Então:![\log_a 36 \cdot \sqrt[4]{18} = \log_a 36 + \log_a \sqrt[4]{18} \log_a 36 \cdot \sqrt[4]{18} = \log_a 36 + \log_a \sqrt[4]{18}](/latexrender/pictures/fcdb0aa796ed4a09210d1556597cea9e.png)





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