Expand #1
What are the three steps to follow when expanding a logarithm, in the correct order?
1. Division (Quotient Property)
2. Multiplication (Product Property)
3. Exponent (Power Property)
What are the three steps to follow when condensing a logarithm, in the correct order?
1. Exponent (Power Property)
2. Multiplication (Product Property)
3. Division (Quotient Property)
Expand log2(9/4)
Condense log26 + log28
log2(6*8) = log248
Evaluate log643 using common logarithms.
log43/log6 = 2.099
One logarithm multiplied can be rewritten as ___ using the ___ property?
Two logarithms added, product property
Two logarithms subtracted can be rewritten as ___ using the ____ property?
One logarithm divided, quotient property
Expand log3(5x)
log35 + log3x
Condense log310 - log35
log3(10/5) = log32
Evaluate log472 using natural logarithms.
ln72/ln4 = 3.085
Expand log8(2x/y)
log82 + log8x - log8y
Condense log6 + log3 - log9
log((6*3)/9) = log2
Expand log7(y4)
4log7(y)
Condense 6lnx
lnx6
Define what "a" does as a transformation, what value does it affect, and when graphing a logarithm with an "a" value what do you need to do?
Vertical stretch or compression (shrink), y-values, create a second table.
Expand ln(x2/y3)
Condense 3log6x + 7log6y
log6(x3y7)
Expand log(3x6/5)
log3 + 6logx - log5
Condense lny + 4lnx - 9lnz
ln(yx4/z9)
What do the variables represent in our interest formula A = P(1+(r/n))nt?
A = Total amount
P = Principal or initial amount
r = rate (as a decimal)
n = number of times compounded within one year
t = time in years
Expand ln(x3z/y)
Condense ln3 + 4lnx - lny
ln(3x4/y)
Expand log9(6x2/11y)
log96 + 2log9x - log911 - log9y
DOUBLE JEOPARDY
Condense 2log9x - log9y - 3log9z
hint: think about practice problem #4
log9(x2/yz3)
DOUBLE JEOPARDY
Find the inverse of: y = 2log3x + 5
y = 3((x-5)/2)