Question 186959
Solve for x:
{{{3^x = 243}}} Take the logarithm of both sides.
{{{log((3))^x = log((243))}}} Apply the power rule for logs to the left side.
{{{x*log((3)) = log((243))}}} Divide both sides by {{{log((3))}}}
{{{x = log((243))/log((3))}}} Evaluate this using your calculator.
{{{highlight(x = 5)}}}
Check:
{{{3^x = 243}}} Substitute x = 5.
{{{3^5 = 243}}} Evaluate the left side.
{{{243 = 243}}} OK!