Question

Dacă ma poate ajuta cnv cu răspunsul detaliat la ex măcar câteva din ele dau 55P ex clasa a 10 logaritmi ​

Answer 1

6.

$\it 1)\ log_x\dfrac{1}{81}=4 \Rightarrow x^4=\dfrac{1}{81} \Rightarrow x^4=\Big(\dfrac{1}{3}\Big)^4 \Rightarrow x=\dfrac{1}{3}\\ \\ \\ 2)\ log_x\sqrt8=\dfrac{3}{4}\Big|_{\cdot4} \Rightarrow 4log_x2^{\frac{3}{2}}=3 \Rightarrow log_x(2^{\frac{3}{2}})^4=3 \Rightarrow x^3=4^3 \Rightarrow x=4\\ \\ \\ 3)\ log_7x=0 \Rightarrow x=7^0=1\\ \\ 4)\ log_{\frac{1}{2}}x=-1 \Rightarrow x=\Big(\dfrac{1}{2}\Big)^{-1} \Rightarrow x=2\\ \\ \\ 5)\ log_{0,1} x=-1 \Rightarrow x=(0,1)^{-1}=\Big(\dfrac{1}{10}\Big)^{-1}=10$