Answer:
The solution of the expression is x=1.584.
Step-by-step explanation:
Given : Expression \(2^x=3\)
To find : Solve the expression round to the nearest ten thousandth?
Solution :
Step 1 - Write the expression,
\(2^x=3\)
Step 2 - Taking log both side,
\(\log (2^x)=\log (3)\)
Step 3 - Apply logarithmic property, \(\log a^x=x\log a\)
\(x\log (2)=\log (3)\)
Step 4 - Solve,
\(x=\frac{\log (3)}{\log (2)}\)
\(x=\frac{0.477}{0.301}\)
\(x=1.584\)
Therefore, The solution of the expression is x=1.584.
