Question 623867
What is the value of x in the equation 5^x+2 + 5^x+1 + 5^x = 3875?
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5^x+2 + 5^x+1 + 5^x = 3875
3(5^x)+3=3875
3(5^x)=3875-3=3872
5^x=3872/3
take log of both sides
xlog5=log3872-log3
x=(log3872-log3)/log5
x≈4.45