227k views
0 votes
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-example-1

1 Answer

5 votes

Solution:

According to the logarithm-index rule,


\begin{gathered} \log _bA=c \\ \Rightarrow A=b^c \end{gathered}

Given the equation:


\log _2x=5.6

Thus, we have


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

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

The correct option is B.

User Bijay Gurung
by
8.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories