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Answer 1 · 2016-11-06T17:57:57

depends on which logs you use.

$log(2^(x^3))$ is the same as $x^3log(2)$

so we end up with: $" "x^3log(2)=6$

$=>x^3=6/log(2)$

$x= root(3)(6/log(2))$

The value of $x$ will vary depending on what type of logs you use.

The usual is either $log_10" or "log_e$ where $log_e$ is normally written as ln

$x= root(3)(6/log_10(2)) ~~2.7113$ to 4 decimal places

$x= root(3)(6/ln(2))~~2.0533$ to 4 decimal places