8582157 8582157
  • 08-06-2021
  • Mathematics
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Which of the following is the inverse of y=3x?

Which of the following is the inverse of y3x class=

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sreedevi102
sreedevi102 sreedevi102
  • 08-06-2021

Answer:

optin 2

Step-by-step explanation:

swap x and y:

[tex]y = 3^x\\\\x = 3^y\\\\log (x) = y log(3)\\\\y = \frac{log (x)}{log(3)} \\\\y = log_3(x)[/tex]      [tex][ using \ the\ rule :\frac{\log _c\left(b\right)}{\log _c\left(a\right)}=\log _a\left(b\right)][/tex]

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