ericakubie24 ericakubie24
  • 15-05-2018
  • Mathematics
contestada

Which logarithmic equation is equivalent to the exponential equation below?

7^x=21

Respuesta :

LadyImago
LadyImago LadyImago
  • 15-05-2018
log base 7 (21)=x
Hope this helps!
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SociometricStar
SociometricStar SociometricStar
  • 10-05-2019

Answer:

[tex]\log_721=x[/tex]

Step-by-step explanation:

We have been given the exponential function [tex]7^x=21[/tex]

We know the relation between exponential and logarithmic function

[tex]\text{if }y=b^x\Rightarrow\log_b(y)=x [/tex]

Comparing, this with the given equation, we get

y = 21

b = 7

x = x

Thus, using the relation, we have

[tex]7^x=21\\\\=\log_721=x[/tex]

Therefore, the equivalent logarithmic equation is

[tex]\log_721=x[/tex]

Answer Link

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