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Rewrite 3x = 27 as a logarithmic equation.

logx27 = 3
log3x = 27
log27x = 3
log327 = x

Respuesta :

Answer:

logx27=3

or

log27x=3

Step-by-step explanation:

Answer:

  [tex]\log_3{27}=x[/tex]

Step-by-step explanation:

Starting with ...

  [tex]3^x=27[/tex]

and taking the log of both sides, you get ...

[tex]x\cdot\log{3}=\log{27}\\\\x=\dfrac{\log{27}}{\log{3}} \qquad\text{divide by the coefficient of x}\\\\x=\log_3{27} \qquad\text{use the change of base formula}[/tex]

This last formulation matches the last answer choice.