Chapter 3/4

Chpt. 3.1/3.2

100

Solve for x.... x⁵= 32

x=2

200

Simplify this radical..... √4x²

2x

300

Determine the x-intercept of the following..... f(x)=√(13-x) - x+1

x=-3,4

400

Solve for x.... f(x)=√(2x-3)-3=0

x=6

Chpt. 3.3/3.4

100

Find the vertical and horizontal asymptote... f(x)=-(4/x)

y=0,x=0

200

Find the x and y-intercepts and any holes.... (3x-9)/(4x+12)

(3,0)(0,-3/4)

300

Find the zero... (x²-4)/(x+2)

(2,0)

400

Graph: y= (2x+4)/(x-1)

*see paper*

Chpt.4.1

100

Simplify... [(3^1/5)¹⁰ x (3^-3)]/9

1/27

200

Simplify.... (4^-x x 8^x)²

2^2x or 4^x

300

Solve for x... 4^-2+1 = 8^x-4

x=2

400

Solve for x.... 9^2x-1 = (1/27)^x+2

x=-(4/7)

Chpt. 4.2/4.3

100

Write this exponential equation in logarithmic form... 2⁴=16

Log₂16=4

200

Find the value without a calculator... Log_x625=4

x=5,-5

300

Expand the following expression... Log100x²y³

2+2Logx+3Logy

400

Condense the expression to the logarithm of a single quantity.... Log₅x-Log₅25

Log₅(x/25)

Chpt. 4.4/4.5

100

Solve for x, reject any extraneous roots... Log₅(2x-1) + Log₅(x-2)=1

x=3

200

Solve for x in terms of A, B and C.... LogA=LogB -CLogx

*see paper*

300

If tomato juice, with a pH of 4.2 is 75 times as acidic as milk, what is the pH of milk?

pH=6.1

400

A biologist studying a colony of bacteria determines that a certain culture grows exponentially such that the bacteria doubles every 4 days. If initially the biologist has 1200 bacteria present,how many days does it take before 100,000 bacteria are present?

25.5 days