SOLUTION: Solve for x: {{{log(x,(7))=1/2}}}

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Question 130661: Solve for x:

log%28x%2C%287%29%29=1%2F2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

log%28x%2C%287%29%29=1%2F2 Start with the given equation.


x%5E%281%2F2%29=7 Rewrite the equation using the property: log%28b%2C%28x%29%29=y ====> b%5Ey=x


sqrt%28x%29=7 Convert from exponent notation to radical notation. In other words, rewrite x%5E%281%2F2%29 as sqrt%28x%29

x=7%5E2 Square both sides to isolate x


x=49 Square 7 to get 49


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Answer:

So our solution is x=49