Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

Question #e7110

1 Answer

Aug 16, 2017

$x \approx 0.047$ $x ~~ 0.047$

Explanation:

We're asked to solve for $x$ $x$ in

$\frac{16}{15} = 4^{x}$ $16/15 = 4^x$

We can change this into logarithmic form:

${log}_{4} (\frac{16}{15}) = x$ $log_4(16/15) = x$

$x = log_4(16/15) = (log(16/15))/(log(4)) ~~ color(blue)(ulbar(|stackrel(" ")(" "0.047" ")|)$

Related questions

Impact of this question

865 views around the world

You can reuse this answer
Creative Commons License