2 like 0 dislike
74 views
Solve the following equation and round your answer off to three decimal places: $2^x=3$
| 74 views

0 like 0 dislike
To solve the equation $2^x = 3$, we can use logarithms to change the exponentiation to a multiplication. Specifically, we can use the logarithm base 2, written as $\log_2$, to change $2^x$ to $x \times \log_2(2)$.

So,

$2^x = 3$

can be rewritten as

$x \times \log_2(2) = \log_2(3)$

To solve for $x$, we divide both sides by $\log_2(2)$

$x = \log_2(3)$

$\log_2(3)$ is approximately $1.5849625007211563$.

So the final solution for $x$ is $x = 1.5849625007211563$
by Diamond (88,832 points)

0 like 0 dislike
1 like 0 dislike
0 like 0 dislike
0 like 0 dislike
0 like 0 dislike
0 like 0 dislike
0 like 1 dislike
0 like 0 dislike
0 like 0 dislike
0 like 0 dislike
0 like 0 dislike
0 like 0 dislike
0 like 0 dislike
0 like 0 dislike