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I CAN Solve Exponential Equations
I CAN Solve Logarithmic Equations
I CAN Evaluate Natural Logarithms
I CAN Solve Natural Logarithmic and Exponential Equations
I CAN Use Properties of Logarithms
100
The solution for x in the equation: 25^(2x-1) = 144
What is 0.2720
100
The solution to the equation: 2log(x) = -1
What is 0.3162
100
The simplified answer to the expression: 3ln(5)
What is ln(125)
100
The simplified solution for the expression: (ln(e^2))/2
What is 1
100
The properties that is used to rewrite the expression: log(1/8)+3log(4) = log(8)
What is Power Property and Product Property
200
The solution to the expression using the change of base formula: log(62) with base 5
What is 2.5643
200
The solution to the equation: log(7x + 1) = log(x - 2) + 1
What is 7
200
The simplified solution to the expression 1/3(ln(x) + ln(y)) - 4ln(z)
What is ln(((xy)^1/3)/z^4)
200
The solution to the equation: e^(2x) = 12
What is 1.242
200
The simplified solution to the logarithmic expression: 2log(x) + log(x) - 8log(y)
What is log(x^3/y^8)
300
The solution to the equation using Change of Base: 3^x = 27.3
What is 3.0101
300
The solution to the equation: log(5 - 2x) = 0
What is 2
300
The solution for y in the equation with the given x value: y = 15 + 3ln(x), for x = 7.2
What is 20.92
300
The solution to the natural logarithmic equation: ln(2m + 3) = 8
What is 1488.979
300
The expanded solution for the logarithm: log7(2x-3)^2
What is log(7) + 2log(2x-3)
400
The solution to the equation: 5 - 3^x = -40
What is 3.4650
400
The solution to the equation: log(x) - log(3) = 8
What is 300,000,000
400
The solution to the following real world problem: A spacecraft can attain a stable orbit 300 km above Earth if it reaches a velocity of 7.7 km/s. Find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.7 km/s, and a firing time of 30s. Can the spacecraft achieve a stable orbit 300 km above Earth? Use v = -0.0098t + c ln(R)
What is 7.79 km/s. and yes it can achieve a stable orbit 300 km above Earth. Your team receives double points for answering this correctly! Congrats!
400
The solution to the equation: e^(x/9) - 8 = 6
What is 23.752
400
The solution to the logarithmic expression with base 9: log(1/3) + 3log(3)
What is 1
500
The solution to the equation using Change of Base: 4^(x-2) = 89
What is 5.2379
500
The solution to the equation: 3log(x) - log(6) + log(2.4) = 9
What is 1357.2
500
The solution to the expression: ln(a) - 2ln(b) + .5ln(c)
What is ln((a*sqrt(c)/b^2)
500
The solution to the natural logarithmic equation: ln(t - 1)^2 = 3
What is 5.482, -3.482
500
The solution to the logarithmic expression with base 6 log(4) + log(9)
What is 2