Question 174209
divide {{{ x^5+x^3+2x+7 by x-3 }}}
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
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Solve {{{ 4^x = 12 }}}
xlog(4) = log(12)
x = log(12)/log(4) = 1.7925
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write as a single log  {{{ 3 Log x - (1/3) Log y + 4 Log z }}}
log(x^3) - log(y^(1/3)) + log(z^4)

= log[x^3*z^4/y^(1/3)]

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A radioactive isotope has a halflife of 600 years.  If 50g is on hand now, how much will be available in 1000 years?
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A(t) = Ao (1/2)^(t/600)
A(1000) = 50*(1/2)^(1000/600)
A(1000) = 50*0.31498
A(1000) = 15.749 grams
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Cheers,
Stan H.