SOLUTION: solve for x
3^(x-7)=14^(2x)
write the exact answer using base-10 logarithms
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Question 754806: solve for x
3^(x-7)=14^(2x)
write the exact answer using base-10 logarithms
Found 2 solutions by Alan3354, tommyt3rd:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
solve for x
3^(x-7)=14^(2x)
solve for x
(x-7)*log(3) = 2x*log(14)
x*log(3) - 7log(3) = 2x*log(14)
xlog(3) - 2x*log(14) = 7log(3)
x*(log(3) - 2log(14)) = 7log(3)
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also, x = ln(2187)/ln(3/196) or logs to any matching bases
Answer by tommyt3rd(5050) (Show Source): You can put this solution on YOUR website!
:)
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