How do you solve #3^x=500#?

1 Answer
kevincmiles1921
Mar 30, 2018

#x = frac{log(500)}{log(3)}#

Explanation:

First, take the #log# of both sides of the equation to get:
#log(3^{x}) = log(500)#

Then use the logarithmic power property to eliminate the exponent:
#xlog(3) = log(500)#

Finally, divide both sides of the equation by #log(3)#:
#x = frac{log(500)}{log(3)}#

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