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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