SOLUTION: 2=log3(x)

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Question 1029186: 2=log3(x)
Found 2 solutions by Fombitz, Theo:
Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website!
Equivalently written as,

Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
y = log3(x) if and only if 3^y = x.

in your problem, this becomes 2 = log3(x) if and only if 3^2 = x.

this makes x = 9.

your equation becomes 2 = log3(9).

you can confirm using your calculator.

the log function of your calculator gives you log10 (log to the base of 10).
the ln function of your calculator gives you loge (log to the base of e).

using the log function of your calculator, you get log3(9) = log(9)/log(3) = 2.

using the ln function of your calculator, you get log3(9) = ln(9)/ln(3) = 2.

try it yourself.

your solution is x = 9.