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What is the solution to the equation below? (Round your answer to twodecimal places.)log, X =5.6A. x = 28.47B. X = 48.50C. X = 11.20O D. x = 31.36

What is the solution to the equation below? (Round your answer to twodecimal places.)log, X =5.6A. x = 28.47B. X = 48.50C. X = 11.20O D. x = 31.36 class=

Answer :

Solution:

According to the logarithm-index rule,

[tex]\begin{gathered} \log _bA=c \\ \Rightarrow A=b^c \end{gathered}[/tex]

Given the equation:

[tex]\log _2x=5.6[/tex]

Thus, we have

[tex]\begin{gathered} x=2^{5.6} \\ x=48.50293013 \\ \Rightarrow x\approx48.50(2\text{ decimal places)} \end{gathered}[/tex]

Hence, the solution to the equation is 48.50 (two decimal places).

The correct option is B.

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