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Lerok [7]
3 years ago
8

Solve 2^x=3. round to the nearest ten thousandth

Mathematics
2 answers:
nikitadnepr [17]3 years ago
8 0
2^{x}  = 3
log_{2}3 = x
\frac{log_3}{log_2} = x
x = 1.585
Soloha48 [4]3 years ago
5 0

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.

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