Solving Log Equations with Properties
Solve for x:
log_3(x-3)=log_3(55)
x=58
Condense the Logarithms:
log_3(2x)-log_3(5y)
log_3((2x)/(5y))
Determine the domain:
f(x)=ln(x)
(0,∞)
Determine the y-intercept:
f(x)=3log(x+10)-5
(0,-2)
What is Mr. Cloud's daughter's name? (spelling counts)
Sofie
Solve for x:
2log(x)=log(3x+4)
x=4
Completely Expand the Logarithm:
log((2x)/y)
log(2)+log(x)-log(y)
Determine the domain:
f(x)=-4log_6(5x+11)-7
(-11/5, ∞)
Determine the x-intercepts:
f(x)=5log_4(x+3)-15
(61, 0)
Florida State University
Solve for x:
2ln(3)+ln(x)=12
x=(e^12)/9
Condense the Logarithms:
2ln(3)-2ln(x)+4ln(y)
ln((9y^4)/x^2)
Determine the domain:
g(x)=0.34log_2(-2x+6)-0.22
(-∞, 3)
Determine the equation for the vertical asymptote:
f(x)=-4log_8(2x-7)+11.2
x=7/2
In which state was Mr. Cloud born?
Delaware
Solve for x:
2=log_3(x)-log_3(x-1)
x=9/8
Condense the Logarithms:
3log(x)-4log(2)-5log(z)+3log(3)
log((27x^3)/(16z^5))
Determine the domain:
g(x)=log_4(x^2-7x-30)+6
(-∞,-3)uu(10,∞)
Determine the y-intercept:
g(x)=11log_2(3x-103)+10
There is not y-intercept for this function
What school did Mr. Cloud teach at before coming to Bullis?
Sandy Spring Friends School
Solve for x:
log_2(x+7)+log_2(x)=3
x=1
Completely Expand the Logarithm:
ln((3(sqrt(x)*y^7))/(7z^5))
ln(3)+1/2ln(x)+7ln(y)-ln(7)-5ln(z)
Determine the domain:
h(x)=log((x^2+7x+10)/(x+1))-9
(-5,-2)uu(-1,∞)
Given:
log_a(5)=x
log_a(10)=y
Determine: log_a(sqrt(50))
1/2x+1/2y
Name two of the three sports that Mr. Cloud has coached at the high school level.
Girls Golf, Softball and Flag Football