SOLUTION: 10^3x-4 (10^x)= 0 working out to solve

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Question 1062704: 10^3x-4 (10^x)= 0 working out to solve
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Do you mean this?
10%5E%283x%29-4%2A10%5Ex=0

%2810%5Ex%29%5E3-4%2A10%5Ex=0
%2810%5Ex%29%28%2810%5Ex%29%5E2-4%29=0
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Using the second of these factors,
%2810%5Ex%29%5E2-4=0
%2810%5Ex%2B2%29%2810%5Ex-2%29=0

10%5Ex=-2 OR 10%5Ex=2
If accept that you cannot raise 10 to any power to get a negative value, then use 10%5Ex=2.


log%28%2810%5Ex%29%29=log%28%282%29%29
x%2Alog%28%2810%29%29=log%28%282%29%29
x%2A1=log%28%282%29%29
x=log%28%282%29%29
highlight%28x=0.30103%29