SOLUTION: {{{4log(base3)(3x+5)=12}}}

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Question 547287: 4log%28base3%29%283x%2B5%29=12
Answer by mathie123(224) About Me  (Show Source):
You can put this solution on YOUR website!
4log%28base3%29%283x%2B5%29=12
Let's first divide by 4 as it is not a part of the log.
4log%28base3%29%283x%2B5%29%2F4=12%2F4
log%28base3%29%283x%2B5%29=3
Now, normally if our log is base 10, we would raise 10 to the exponent to get rid of the log. Since it is base 3, we use 3 instead.
3%5E%28log%28base3%29%283x%2B5%29%29=3%5E3
3x%2B5%29=27
3x=27-5
3x=22
3x%2F3=22%2F3
x=22%2F3