Question

Completa el número que hace falta
log3 ___=5
log6___=5
log__ 1296=2
log__ 49=2
log__512=3
log__25=2
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Answer 1

Respuesta:

Explicación paso a paso:

$log_{3} (x) = 5,entonces: x = 3^{5}$

$x = 243$

$log_{3} (243) =5$

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$log_{6} (x) =5,entonces: x= 6^{5}$

$x= 7776$

$log_{6} (7776) =5$

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$log_{a} (1296) = 2,entonces: a^{2} =1296$

$a = \sqrt{1296} = 36$

$log_{36} (1296)=2$

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$log_{a} (49) = 2$

$a^{2} =49, entonces: a = \sqrt{49} = 7.$

$log_{7} (49)=2$

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$log_{a} (512) =3,entonces: a^{3} = 512$

$a = \sqrt[3]{512} = 8$

$log_{8} (512) = 3$

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$log_{a} (25) = 2, entonces: a^{2} = 25$

$a = \sqrt{25} = 5$

$log_{5} (25) =2$