Pick your poison
Solve Exponential Equations/Inequalities
Log functions
Properties
Base e and Natural logs
100
Express each log in terms of common logs: log[8] 32
What is 1.6667
100
Solve: 9^2x-1=3^6x
What is x= -1
100
Write in exponential form: log[4] 1/256= -4
What is 1/256=4^-4
100
Expand: logM^5 / N
What is 5logM- logN
100
write in log form: e^x=23
What is ln 23=x
200
Evaluate: 2^log[2] (8x-1)
What is 8x-1
200
8^4x+2=64
What is x= 0
200
write in log form: 125^1/3= 5
What is log[125] 5= 1/3
200
log 3a^2 / b
What is log3+ 2loga - log b
200
e^-2 = x^6
What is -2= 6 ln x
300
A particular compound decays according to the equation y= ae^-0.0736t , where t is in days. Find the half-life of this compound.
What is about 9.4 days
300
625>5^a+8
What is a<-4
300
write in log form: 15^3= 3375
What is log [15] 3375= 3
300
2log a - log b
What is log a^2/b
300
write in expo form: ln(x+4)=36
What is e^36=x+4
400
Use log[5] 3= 0.6826 and log[5] 4= 0.8614 to approximate the value of this expression: log[5] 30
What is 2.1133
400
10^5b+2>1000
what is b> 1/5
400
write in log form: 25^2/3 =125
What is log[25] 125 = 3/2
400
Express log[3] 20 in terms of common log
What is approx. 2.7268
400
ln x= 1.2528
What is x= e^1.2528
500
Using the exponential decay formula: find t if a=100 y=50 k=-0.035 (t is in years)
What is 19.8 years
500
(25/81)^2x+1= (729/125)^-3x+1
What is x= 1
500
write in log form: 6^-3=1/216
What is log[6] 1/216=-3
500
Write as a single logarithm: 4 ln 1/3- 6 ln 1/9
What is -8 ln 1/3
500
e^-5x= 0.1
What is ln 0.1= -5x
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