SOLUTION: divide {{{ x^5+x^3+2x+7 by x-3 }}}
Solve {{{ 4^x = 12 }}}
write as a single log {{{ 3 Log x - (1/3) Log y + 4 Log z }}}
A radioactive isotope has a halflife of 600 years.
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Question 174209: divide
Solve
write as a single log
A radioactive isotope has a halflife of 600 years. If 50g is on hand now, how much will be available in 1000 years?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
divide
Use synthetic division:
3)....1....0....1....0....2....7
.......1....3....10...30...92..|..283
Quotient: x^4 + 3x^3 + 10x^2 + 30x + 92
Remainder: 283
==========================================
Solve
xlog(4) = log(12)
x = log(12)/log(4) = 1.7925
===========================================
write as a single log
log(x^3) - log(y^(1/3)) + log(z^4)
= log[x^3*z^4/y^(1/3)]
============================================
A radioactive isotope has a halflife of 600 years. If 50g is on hand now, how much will be available in 1000 years?
---
A(t) = Ao (1/2)^(t/600)
A(1000) = 50*(1/2)^(1000/600)
A(1000) = 50*0.31498
A(1000) = 15.749 grams
==================================
Cheers,
Stan H.
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