Question #87c76

Question

Question #87c76

1 Answer

Impact of this question

1333 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-01-24T17:12:26

x = $\frac{1}{2} log (\frac{50}{3})$ $1/2 log (50/3)$ , where the logarithm is base 2.

Explanation:

$4^{x}$ $4^x$ is equal to $2^{2 x}$ $2^(2x)$ , so the equation can be written as $2^{2 x} + 2^{1 + 2 x} = 50$ $2^(2x)+2^(1+2x) = 50$ . Factoring out $2^{2 x}$ $2^(2x)$ , one gets $2^{2 x} (1 + 2) = 2^{2 x} (3) = 50$ $2^(2x)(1+2)=2^(2x)(3)=50$ , which is equivalent to $2^{2 x} = \frac{50}{3}$ $2^(2x)=50/3$ . Taking the logarithm base 2 of both sides gives $2 x = log (\frac{50}{3})$ $2x = log (50/3)$ or, equivalently, $x = \frac{1}{2} log (\frac{50}{3})$ $x = 1/2 log (50/3)$ , where the logarithm is base 2.

Science

Math

Humanities

... and beyond

Question #87c76

1 Answer

Explanation:

Related questions

Impact of this question