Logs
Solve for x. log2(x) = -3
What is
x=1/8
Rewrite as an exponential equation.
log_2(1/32)=-5
What is
2^-5 = 1/32?
Use any method to solve the system.
12x+5y=34
3x-y = 4
What is (2,2)?
Find fog(x)
f(x)= 2x+7
g(x)= (x+7)/2
What is x + 14?
Convert 5o to radian measure.
What is
pi/36 radians?
Use the properties of logarithms to expand log(zx6)
What is logz+6logx ?
Solve for x:
log_2(8)=x
What is x = 3?
Use any method to solve the system.
3x-4y=41
4x+12y =-32
What is (7,-5)?
Find (f+g)(-6) when
f(x) = 1/(2x+13)
g(x) = 4x2-28
What is 117?
Convert to degrees:
(12pi)radians
What is 2160o?
Write the expression as a single logarithm. 5log2x+3log2y-log2z
What is
log_2((x^5*y^3]/z)?
Solve for x. 4x+6=415x-1
What is
x = 1/2?
Solve the following system of equations.
x+2y=8
-x-2y=8
What is no solution?
Find (f/g)(0) When
f(x) =
sqrt(x+4)
g(x) = x2-5
What is
-2/5
Find the area of the sector of a circle formed by an angle of 45o with radius 6 feet. Round your answer to two decimal places.
What is approx 14.14 feet?
Solve for x. log3(x+15) = log3(x2+9)
What is x=3?
Rewrite in the form 2u:
1/2^-3
What is 23?
Solve the following system of equations.
-x-2y=-2
x+2y=2
What is infinitely many solutions?
Find the inverse
y = 1/4(x)-4
What is f-1 = 4x + 16?
Find the length of the arc intercepted by a central angle of
pi/13
in a circle of radius 52 cm.
Give your answer in terms of pi.
What is
s=4pi?
Use the properties of logarithms to solve for x. log4x=1
What is x=4?
Solve for x: 23x+4 = 4x+6
What is x = 8?
Solve the system:
x + y + z = -6
3x - y - 3z = -18
-x - y - 8z = -8
What is (-5, -3, 2)?
Is the function one-to-one? Explain why or why not.
y = x2 + 21
No. Fails the horizontal line test.
Find the exact value of
sin^-1(sqrt3/2)
What is
pi/3?