SOLUTION: Please help me solve {{{ log (3x+4) = 3 }}}

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Question 863170: Please help me solve +log+%283x%2B4%29+=+3+
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
By default, logs are base 10. So if you don't see a small number below the log, it's base 10. That means


+log+%28%283x%2B4%29%29+=+3+


is the same as


+log+%2810%2C%283x%2B4%29%29+=+3+

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Now you would use this rule


(Image Source: http://education-portal.com/academy/lesson/logarithmic-form-converting-lesson-quiz.html#lesson)


To go from this


+log+%2810%2C%283x%2B4%29%29+=+3+


to this


+3x%2B4+=+10%5E3+


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Now solve for x


+3x%2B4+=+10%5E3+


+3x%2B4+=+1000+


+3x+=+1000-4+


+3x+=+996+


+x+=+996%2F3+


+x+=+332+


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Final Answer: +x+=+332+