Question

Completa el número que hace falta
log3 ___=5
log6___=5
log__ 1296=2
log__ 49=2
log__512=3
log__25=2
​

Answer 1

Respuesta:

Explicación paso a paso:

[tex]log_{3} (x) = 5,entonces: x = 3^{5}[/tex]

[tex]x = 243[/tex]

[tex]log_{3} (243) =5[/tex]

_______________________________________________________

[tex]log_{6} (x) =5,entonces: x= 6^{5}[/tex]

[tex]x= 7776[/tex]

[tex]log_{6} (7776) =5[/tex]

______________________________________________________

[tex]log_{a} (1296) = 2,entonces: a^{2} =1296[/tex]

[tex]a = \sqrt{1296} = 36[/tex]

[tex]log_{36} (1296)=2[/tex]

_____________________________________________________

[tex]log_{a} (49) = 2[/tex]

[tex]a^{2} =49, entonces: a = \sqrt{49} = 7.[/tex]

[tex]log_{7} (49)=2[/tex]

______________________________________________________

[tex]log_{a} (512) =3,entonces: a^{3} = 512[/tex]

[tex]a = \sqrt[3]{512} = 8[/tex]

[tex]log_{8} (512) = 3[/tex]

__________________________________________________

[tex]log_{a} (25) = 2, entonces: a^{2} = 25[/tex]

[tex]a = \sqrt{25} = 5[/tex]

[tex]log_{5} (25) =2[/tex]