SOLUTION: Solve a) log(base 5)x + log(base 10) x =5 Can you please help me out? Thanks so much in advance:)

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Question 872302: Solve
a) log(base 5)x + log(base 10) x =5
Can you please help me out? Thanks so much in advance:)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve
a) log(base 5)x + log(base 10) x =5}}}
log%285%2C%28x%29%29%2Blog%285%2C%28x%29%29%2Flog%285%2C%2810%29%29=5
log%285%2C%28x%29%29%2Blog%285%2C%28x%29%29%2F1.4307=5
1.4307log%285%2C%28x%29%29%2Blog%285%2C%28x%29%29=7.1534
2.4307log%285%2C%28x%29%29=7.1534
log%285%2C%28x%29%29=7.1534%2F2.4307
x=5^(7.1534/2.4307)≈114.0317
note: calculations rounded to 4 decimal places