axeipoo3491
axeipoo3491 axeipoo3491
  • 04-05-2019
  • Mathematics
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Which of the following exponential equations is equivalent to the logarithmic equation below? log750=x

Which of the following exponential equations is equivalent to the logarithmic equation below log750x class=

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Аноним Аноним
  • 04-05-2019

Answer:

I believe the answer is A

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carlosego
carlosego carlosego
  • 05-05-2019

For this case we must indicate an expression equivalent to:

[tex]log (750) = x[/tex]

For properties of logarithm we have to:

[tex]log_ {b} (x) = y[/tex]is equivalent, in its exponential form to:

[tex]b ^ y = x[/tex], where [tex]x> 0, b> 0[/tex] and b different from 1.

In this case:

[tex]b = 10\\x = 750\\y = x[/tex]

So:

[tex]10 ^ x = 750[/tex]

ANswer:

Option D

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