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NAME_________________________________ PD___ Warm Ups: Exponential/Logarithmic Functions 6
WHERE AM I GOING?
What are characteristics of graphs of exponential functions?
What value does e represent?
How can exponential functions be used in real-world problems?
What is a logarithm?
WHERE AM I NOW?
How can you solve exponential and logarithmic equations?
6.1-1
Without graphing, determine whether each equation represents growth or decay:
1) y = 15(7)x
2) y = 1285(0.5)x
Identify the horizontal asymptote of:
3) Y = (0.8)x
4) y = 3(0.25)x - 1
Write an exponential function for the graph that passes through the points
(-1, 5) and (1/2, 40)
6.1-2 WRITE AN EXPONENTIAL MODEL FOR EACH OF THE FOLLOWING:
1) A car valued at $9000 depreciates at a rate of 15%.
2) The deer population of 2400 in an area increases by 11% each year.
3) The half-life of a radioactive substance is 5 days. The original amount of the
substance is 48 mg.
6.2
1) Find the amount in a continuously compounded account where the principal is
$2000 at an annual interest rate of 5% for 3 years.
2) How much must you deposit in an account paying 4.5% interest compounded
monthly to have $4000 in five years?
M. Murray
6.3: NO CALCULATOR: EVALUATE EACH LOGARITHM
1) log232
2) log (-100)
3) log 41
Write each equation in exponential form:
4) Log 0.01 = -2
5) log327 = 3
What is a
logarithm?
6.5: PROPERTIES OF LOG
EXPAND:
1) log2x3y
2) log abc2
Condense (simplify):
3) 4log x + log y – log z
4) log 1 – 2log x
6.6: SOLVE:
1) log (7x + 1) = log (x – 2) + 1
2) 4x-2 = 89
3) 2log x + log 4 = 2
4) 42x – 4 = 13
6.6 SOLVE:
1) 2 ln x + 3 ln 2 = 5
2) 4e(x-1) = 64
3) ln 4 – ln x = 10
4) e3x = 12