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
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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.