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Which of the following exponential equations is equivalent to the logarithmic equation below? log 450 = x O A. 45010 = x O B. x 10 = 450 O C. 450* = 10 . O D. 10* = 450

Which Of The Following Exponential Equations Is Equivalent To The Logarithmic Equation Below Log 450 X O A 45010 X O B X 10 450 O C 450 10 O D 10 450 class=

Sagot :

Given:

The given equation is

[tex]\text{ log}450=x.[/tex]

Required:

We have to find the correct option.

Explanation:

Clearly, the given log has base 10. So, to find the answer we proceed as follows:

[tex]\begin{gathered} \text{ log}450=x \\ \Rightarrow450=10^x. \end{gathered}[/tex][tex]\Rightarrow10^x=450.[/tex]

Final answer:

Hence the final answer is

[tex]10^x=450[/tex]

Which is option D.

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