Question 319899
A general rule is:
{{{log(a^b) = b*log(a)}}}
Using the right to left version of the rule,
{{{2*log(x) = log(x^2)}}}, so
{{{log(x^2) = log(8)}}}
If the logs are equal, the numbers are equal
{{{x^2 = 8}}}
{{{x = sqrt(8)}}}
{{{x = 2.828}}}
I can check this:
{{{2*log(x) = log(8)}}}
{{{2*log(2.828) = log(8)}}}
{{{2*.4515 = .9031}}}
{{{.903 = .9031}}} slight round-off error