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Which exponential equation is equation is equivalent to the logarithmic equation below? Log 200 = a

Respuesta :

Answer:

200 = [tex]10^{a}[/tex]

Step-by-step explanation:

Using the law of logarithms

• [tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

Note that log 200 has base 10, that is

[tex]log_{10}[/tex] 200 = a ⇒ 200 = [tex]10^{a}[/tex]

The exponential equation 10^a = 300 is equivalent to the logarithmic equation Log 200 = a.

Which rule of logarithms should we use here?

The rule of logarithms that we should use here is given below

log x = a ⇔ 10^a = x

We can find the equivalent exponential equation below:

The given expression is Log 200 = a.

We can follow the rule log x = a ⇔ 10^a = x to convert this logarithmic equation to an exponential one.

Log 200 = a can be rewritten as 10^a = 200

Therefore, we have found that the exponential equation 10^a = 300 is equivalent to the logarithmic equation Log 200 = a.

Learn more about logarithms  here: https://brainly.com/question/25710806

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