Question 36554
3^x=500


Take the ln of each side:

{{{ ln(3^x) = ln (500) }}}


By law of logarithms:
{{{ x* ln(3) = ln (500) }}}


Now, just divide both sides by ln(3):
{{{x = (ln (500))/(ln(3)) }}}


By calculator, the answer is approximately 5.65678 or probably round off to 5.66. 

R^2 at SCC