Determining Exponential Growth or Decay
State whether the following equation is growth or decay:
f(x)=5(1/2)^x
What is Decay?
Simplify in terms of e:
5e^-2dote^9
What is
5e^7
Simplify the expression: log2 8
What is 3?
Write the exponential equation 45= 1,024 in logarithmic form.
What is log4 1,024 = 5 ?
Expand
Log_6(ab^3)
What is log6a + 3log6b?
Solve for x and give answer to 3 decimal places
3x = 24
What is x=2.893?
Solve: log x = 3
What is 1000?
State whether the following equation is growth or decay:
y=7e^(-2x+3)-4
What is Decay?
Simplify in terms of e:
(2e^(6x))^-2
What is
1/(4e^(12x))
Write the equation log3 729 = 6 in exponential form.
What is 36=729 ?
Write the exponential equation 27 1/3 = 3 in logarithmic form.
What is log27 3 = 1/3 ?
Condense :
5log_7(11) - log_7(8)
What is
log_7(11^5/8)
Solve for x and give answer to 3 decimal places
2( 5^x) = 81
What is x=2.300 ?
log3 x = 5
What is x = 243 ?
State whether the following equation is growth or decay:
y=-1/5(8/5)^x+6
What is Growth?
Simplify the following:
3^(log_3(4x))
What is 4x
Write the equation log 1000 = 3 in exponential form.
What is 103=1000 ?
Solve for x:
23x - 1 = 214
What is x = 5
Expand. Log_3(z^4x)
What is
4log_3(z) + log_3(x)
Solve for x and give answer to 3 decimal places
6^(5x) = 3000
What is x=.894?
Solve: log 5 + log x = 2
What is x= 20 ?
Determine the Growth/Decay Factor and Percentage Rate:
y=6(1.12)^x
What is
GF = 1.12
PR = 12%
Simplify the following:
log_6(216^(7x))
What is
21x
Solve log816 = ?
What is x = 4/3 ?
Solve for x :
32x-5 = 1/9
What is x = 3/2?
Expand
Log_8(x^3y)^2
What is
6log_8x + 2log_8y
?
Solve for x and give answer to 3 decimal places
3^(x/3) = 8
What is x= 5.678 ?
Solve for x: Log x - log 4 = 1
What is x= 40 ?
Determine the Growth/Decay Factor and Percentage Rate and Initial Value:
f(x)=-3(0.975)^x
What is
DF = 0.975
PR = 2.5%
IV= -3
Simplify in terms of e:
(4e^(6x)e)/(28e^(-7x-3))
What is
e^(13x+4)/7
Solve Log_7root3(1/7)=?
What is
x=-1/3
Solve for x :
7-2^(-x)=5
What is x = -1?
Condense:
(log_5x+log_5y+log_5z)/2
What is
Log_5sqrt(xyz)
Solve for x and give answer to 2 decimal places
102x + 1 + 2 = 4
What is x = -0.35 ?
Solve for x . Be sure to check for extraneous solutions
Log_4(2x +1) - Log_4(x -2) = 1
What is x = 9/2 or 4.5