Question

Log4[log3(log2x)]=1/2 oblicz

4;3;2 powinno byc jako indeks ale nie wiem jak to tutaj zrobic

Answer 1

[latex]log_{4}[log_{3}(log_{2}x)]=\frac{1}{2}[/latex]
[latex]4^{\frac{1}{2}}=log_{3}(log_{2}x)[/latex]
[latex]2=log_{3}(log_{2}x)[/latex]
[latex]3^{2}=log_{2}x[/latex]
[latex]2^{9}=x[/latex]
[latex]x=512[/latex]