SOLUTION: log x + log 2 = 5

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Question 149753: log x + log 2 = 5
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
log%2810%2C%28x%29%29%2Blog%2810%2C%282%29%29=5 Start with the given equation.


log%2810%2C%282x%29%29=5 Combine the logs using the identity log%28b%2C%28A%29%29%2Blog%28b%2C%28B%29%29=log%28b%2C%28A%2AB%29%29


10%5E5=2x Rewrite the equation using the property: log%28b%2C%28x%29%29=y ====> b%5Ey=x


100000=2x Raise 10 to the 5th power to get 100,000


50000=x Divide both sides by 2.


So the answer is x=50000