Show:
Section 3.1
Section 3.2
Section 3.3
Section 3.4
Solving Exponentials
Section 3.4
Solving Logarithms
100
evaluate 3.4^x with x=5.6
What is 946.852
100
Evaluate f(x)=log(subscript 2)x, when x=32
What is f(x)=5
100
Evaluate log(subscript 4)25 using change-of-base formula.
What is 2.3219
100
Solve 3(2^x)=42
What is 3.807 or log(subscript 2)14
100
Solve 5+2lnx=4
What is 0.607
200
where is the graph y=2e^(x-2)+4 plotted in relation to the graph y=e^x
What is translate up 4 units, right 2 units, and vertical stretch of 2
200
Evaluate the function at the indicated value of x without using a calculator... f(x)=log(subscript 2)x x=16
What is 4
200
Find the exact value of lne^6 - lne^2 without using a calculator
What is 4
200
solve e^(-x^2)=e^(-3x-4)
What is x=-1 and x=4
200
Solve 2log(subscript5)3x=4
What is 25/3
300
use the One-to-One Property to solve the equation for x... e^(3x+2)=e^3
What is x=1/3
300
Use the properties of natural logarithms to simplify the expression... ln1/3
What is 0
300
Expand log(subscript 4)5x^3y
What is log(subscript 4)5 + 3log(subscript 4)x + log(subscript 4)y
300
Solve 2(3^[2t-5])-4=11
What is 3.417
300
Solve log5x+log(x-1)=2
What is x=5 (x=-4 is extraneous)
400
A total of $12,000 is invested at an annual interest rate of 9%. Find the balance after 5 years if it is compounded quarterly and monthly.
What is quarterly=$18,726.11 and monthly=$18,788.17
400
Find the domain, x-intercept, and vertical asymptote of the function... f(x)=-log(subscript 6)(x+2)
What is Domain: (-2, infinity) x-intercept: (-1, 0) Vertical asymptote: x= -2
400
Condense 1/3[log(subscript 2)x + log(subscript 2){x+1}]
What is log(subscript 2){x^2+x}1/3
400
Solve algebraically e^(2x)-3e^x-4=0
What is ln4 or 1.386
400
Solve algebraically log(subscript 4)x - log(subscript 4)(x-1)=1/2
What is 2
500
The number 'V' of computers infected by a computer virus increases according to the model V(t)=100e^(4.6052t) where 't' is the time in hours. Find V(1.5) and V(2).
What is V(1.5)=100,004.47 and V(2)=1,000,059.6
500
State the four Properties of Logarithms
What is log(subscript a)1=0 because a^0=1 log(subscript a)a=1 because a^1=a log(subscript a)a^x and a^[log(subscript a)x]=x If log(subscript a)x=log(subscript a)y, then x=y
500
Condense 1/3[log(subscript 8)y+2log(subscript 8){y+4}] - log(subscript 8){y-1}
What is log(subscript 8){[y(y+4)^2]^1/3}/y-1
500
Solve algebraically (1+0.065/365)^(365t)=4
What is 21.330
500
Solve algebraically log8x - log(1+x^1/2)=2
What is 180.384