SOLUTION: Solve for x: {{{4+3*log(2,(x))=7}}}

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Question 130628: Solve for x: 4%2B3%2Alog%282%2C%28x%29%29=7
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4%2B3%2Alog%282%2C%28x%29%29=7 Start with the given equation


4%2Blog%282%2C%28x%5E3%29%29=7 Rewrite the expression using the identity log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29


log%282%2C%28x%5E3%29%29=3 Subtract 4 from both sides


2%5E3=x%5E3 Rewrite the equation using the property: log%28b%2C%28x%29%29=y ====> b%5Ey=x


8=x%5E3 Evaluate 2%5E3 to get 8


root%283%2C8%29=x Take the cube root of both sides


2=x Take the cube root of 8 to get 2


So our answer is x=2