Mishmash
the derivative of
3x^2 -2x-2/x
6x-2+2/x^2
Evaluate each expression.
Reminder: When a logarithm is written "log" without an explicit base, it refers to the common logarithm, log10
a) log8 1/8
b) log 1000
a) -1
b) 3
How can we rewrite this statement as a logarithmic equation?
be = n
logb n = e
It gets wet the more it dries
A towel
I have one eye, but cannot see
A needle
Factorize fully
x^4-16
(x^2+4)(x-2)(x+2)
Use the properties of logarithms to expand log x/z4
Each logarithm should involve only one variable and should not have any exponents. Assume that all variables are positive.
logx - 4logz
How can we rewrite this statement as an exponential equation?
loga c = b
ab = c
Evereyone has it, and No one can lose it!
A shadow
A plane crashes on the Cambodian-Laos border and every single person died. Later a man is seen on tv claiming to have survived. How?
He is/was married
How many real roots?
x^2+2x+4=0
None
Use the properties of logarithms to expand the following expression.
log rad(xy7 / z3)
Each logarithm should involve only one variable and should not have any radicals or exponents. You may assume that all variables are positive.
1/2logx + 7/2logy - 3/2logz
Solve for x in the equation.
logx81 = 2
x = 9
I am where yesterday follows today, and tomorrow is in the middle!
A dictionary
Mom and Dad have four daughters and every daughter has a brother. How many people in the family?
7
Solve for x.
logx100 = 2
x=10
Use the properties of logarithms to expand log (z2x)
Each logarithm should involve only one variable and should not have any exponents. Assume that all variables are positive.
2logz + logx
Solve the equation:
2^(2x)-3(2^x)-4=0
x = 2
issue. issue. issue. issue. issue.
issue. issue. issue. issue. issue.
Tennis shoes
(Ten-issues)
He/she who makes it has no need of it. He/she who buys it, has no use for it. He/she who uses it can neither see nor feel it.
What is it?
A coffin
Write the expression as a single logarithm.
1/4logcx + 5logcz - logcy
logc (x1/4 z5 / y)
Use the properties of logarithms to expand the following expression.
log((y^7)/sqrt(xz^3))
Each logarithm should involve only one variable and should not have any radicals or exponents. You may assume that all variables are positive.
7logy - 1/2logx - 3/2logz
7logy-1/2logx-3/2logz
Solve the equation to find x, leaving your answer(s) as an exact value(s).
2e^(2x)-7x+6=0
x = ln(2), ln(3/2)
Your mother's brother's only brother-in-law
Your father!
If you have it you do not share it. If you share it, you lose it.
A secret