Posted by Rebekah on Wednesday, December 12, 2012 at 8:04pm.
1. if P(t)=3e^2t, for what value does P(t)= 2P(2)
2. Find all x for which the square root of log (x)= log square root of x
thanks!!

logarithms  Reiny, Thursday, December 13, 2012 at 12:39am
1. If P(t) =3P(2)
then 3e^(2t) = 2(3e^(4t)
e^(2t) = 2 (e^2t)^2
let e^2t = y
y = 2y^2
2y^2  y = 0
y(2y 1) = 0
y = 0 or y = 1/2
e^2t = 0 > no solution
or
e^2t = 1/2
ln (e^2t) = ln (1/2) = ln1  ln2 = ln2
2t = ln2
t = (1/2)ln 2
2. √(log(x)) = log (√x) = log x^(1/2) = (1/2) logx
let logx = y
√ y = (1/2)y
y = (1/4)y^2
4y = y^2
y^2  4y = 0
y (y  4) = 0
y = 0 or y = 4
logx = 0 or logx = 4
x = 10^0 = 1 OR x = 10^4 = 10000

logarithms  Reiny, Thursday, December 13, 2012 at 12:48am
My error for #1, see "bobpursley's" answer
http://www.jiskha.com/display.cgi?id=1355365995
Answer This Question
Related Questions
 Precalculus  PLEASE HELP ME WITH THESE QUESTION AS MUCH AS POSSIBLE!! Evaluate ...
 precalc  1. if P(t)=3e^2t, for what value does P(t)= 2P(2) 2. Find all x for ...
 math  write as a single logarithm: 2logbase3(1/x)+(1/3)logbase3(square root of...
 Algebra  Rationalize each expression by building perfect nth root factors for ...
 MATH  I have 2 questions the first I have narrowed down to 2 possible solutions...
 Algebra 2 once more  I have more answers that I would like checked. Also, there...
 Math  Just need some help... Directions: Multiply or raise to the power as ...
 Math simplifying mixed radicals  Please help me simplify these following mixed ...
 Math Help!  Four students worked to find an estimate for square root 22. Who is...
 Math ~CHECK MY ANSWER~  1) Which of these is a rational number? a. Pi b. Square...
More Related Questions