kinnize20 kinnize20
  • 17-08-2017
  • Mathematics
contestada

express 5^3=x as a logarithmic equation

Respuesta :

Аноним Аноним
  • 17-08-2017
take logs of both sides
log x  = log 5^3
log x  = 3 log 5
Answer Link
SociometricStar
SociometricStar SociometricStar
  • 02-07-2019

Answer:

[tex]log_5x=3[/tex]

Step-by-step explanation:

We have been given the equation [tex]5^3=x[/tex]

We can use below relation between logarithm and exponential function:

[tex]b^y=x\Rightarrow y=\log_bx[/tex] for x>0 and 0<b≠1

Here, b = 5, y= 3

Hence, using the above relation, the logarithmic equation is

[tex]3=\log_5x\\\\log_5x=3[/tex]

Answer Link

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