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log2 (3x+7)=4 rezolvare a

Răspuns :

[tex] log_{2}(3x+7)=4,DVA:x\ \textgreater \ - \frac{7}{3} [/tex]
[tex]3x+7=16[/tex]
[tex]3x=9[/tex]
[tex]x=3[/tex]
S={3}
Conditia pentru existenta:
[tex]3x+7\ \textgreater \ 0\\x+(7/3)\ \textgreater \ 0\\x\ \textgreater \ 0-(7/3)\\x\ \textgreater \ -\frac{7}{3}\\Rezolvare:\\Log2(3x+7)=4\\3x+7=2^{4}\\3x+7=2*2*2*2\\ 3x+7=16\\3x=16-7\\3x=9\\x=\frac{9}{3}\\x=3[/tex]
S={3}