Question

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

Answer 1

$2^{x} = 3$
$log_{2}3 = x$
$\frac{log_3}{log_2} = x$
$x = 1.585$

Answer 2

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.