Mathmaster420 Mathmaster420
  • 02-09-2017
  • Mathematics
contestada

which logarithmic function can be used to approximate the value of y in the equation 4^y=5?

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WojtekR
WojtekR WojtekR
  • 02-09-2017
From the definition of logarithm, we know that:

[tex]$a^y=b\quad\iff\quad y=\log_ab\qquad\quad \,\text{when }a,b\ \textgreater \ 0\,\,\text{ and }\,\,a\neq1[/tex]

In this case [tex]a=4[/tex] and [tex]b=5[/tex] so:

[tex]$\boxed{y=\log_45}[/tex]
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