Find the solution of the exponential equation (13)1−x=3.
{−13}
{13}
{1}
{2}
Evaluate log 0.01.
−1.99999999
−2
2
100
Which of the following expressions is equivalent to ln7+2lnx?
ln(7+2x)
ln(7x2)
ln (9x)
ln (14x)
Solve the equation 2x2=3x.
{0}
{ln3ln2}
{0,ln3ln2}
{0,ln3−ln2}
Solve the equation e2x−ex−6=0.
{−ln2}
{−ln3}
{ln 6}
{ln 3}
Rewrite the expression ln3x2(x+1)10 in expanded logarithmic form.
ln6x−10lnx+1
2ln3x−10ln(x+1)
2ln3+2lnx−10ln(x+1)
ln3+2lnx−10ln(x+1)
Find lne3x.
3
3x
3+x
x
The equation for the graph obtained by shifting the graph of y=log3x 2 units up and 3 units left is
y=log3(x−3)+2.
y=log3(x+3)−2.
y=log3(x−3)−2.
y=log3(x+3)+2.
Which of the following graphs is the graph of y=5x+1−4?
Find the domain of the function f(x)=ln(1−x)+3.
(−∞,1)
(1,∞)
(−∞,−1)
(−∞,3)
(3,∞)
Write lnx−2ln(x2+1)+12ln(x4+1) in condensed form.
lnxx4+1−−−−−√(x2+1)2
lnxx2+1
ln(x−(x2+1)2+(x4+1)1/2)
2lnx(1+x4)x2+1
Solve the equation logx=log12−log(x+1).
{112}
{132}
{3,−4}
{3}
{212}
Find x if logx16=4.
4
2
64
14
16
Suppose $12,000 is invested in a savings account paying 10.5% interest per year. Write the formula for the amount in the account after t years assuming that the interest is compounded monthly.
A=12,000(1.105)t
A=12,000(1.525)2t
A=12,000(1.2625)4t
A=12,000(1.00875)12t
The population of a certain city is growing according to the model P=10,000log5(t+5), where t is time in years. If t=0 corresponds to the year 2000, what will the population of the city be in 2020?
30,000
20,000
50,000
10,000
Compare the intensity of the earthquake in 1994 in Northridge, California, of magnitude 6.7 to that of the 7.0 earthquake in 1988 in Armenia.
The Northridge earthquake was about twice as intense.
The Armenia earthquake was about twice as intense.
The Northridge earthquake was about a thousand times as intense.
The Armenia earthquake was about a thousand times as intense.