Show:
Solving Exponential Equations
Condensing Logarithms
Change Between Forms
Expanding Logarithms
Solving Logarithmic Equations
100
Its the solution to 5^x=25
What is x=-2
100
The condensed form of 3log_5 (u) + 4log_5 (v)
What is log_5 (u^3*v^4)
100
it's the logarithmic form of e^2x = 5
What is ln 5 = 2x
100
The expanded form of log_3 (u^2 / v)
What is 2log_3 (u) - log_3 (v)
100
The solution to log (x+6) = 1
What is x=4
200
The solution to 8^-x=1.2
What is x=-log_8 (1.2)
200
The condensed form of log_2 (1/x) + log_2 (1/x^2)
What is log_2 (1/x^3)
200
it's the exponential form of ln (1/x-5) = 3
What is e^3 = (1/x-5)
200
The expanded form of ln ( x^2 / (x-1)^3 )
What is 2ln x - 3ln (x-1)
200
The solution to 2log_5 (x) = 3log_5 (4)
What is x=8
300
The solution to 8*3^x=5
What is x=log_3 (5/8)
300
The condensed form of log_a (7) + 4log_a (3)
What is log_a (567)
300
it's the logarithmic form of 3^x = 4.6
What is x = log_3 (4.6)
300
The expanded form of log_a (x * sqr(x^2 + 1) )
What is log_a (x) + (1/2)log_a (x^2 +1)
300
The solution to log_5 (2x+3)=log_5 (3)
What is x=0
400
It's the solution to 25^x - 8*5^x = -16
What is x=log_5 (4)
400
The condensed form of (2/3)ln 8 - ln (5^2 - 1)
What is ln (1/6) or -ln 6
400
it's the exponential form of log_b (4) = 2
What is b^2 = 4
400
The expanded form of log_4 (x^2 - 1)^3 / (x+1)^5
What is 3log_4 (x^2 - 1) - 5log_4 (x+5)
400
The solution to log (x) + log (x+15) = 2
What is x=5
500
The solution to 36^x - 6*6^x = -9
What is x=log_6 (3)=x
500
The condensed form of (1/2)log (x^2 +1) - 3log x - 4log (x+1)
What is log Sqr(x^2 + 1) / x^3 *(x+1)^4
500
it's the logarithmic form of a^2 = 1.6
What is log_a (1.6) = 2
500
The expanded form of log_a y(x^2 + 1) / 5
What is log_a (y) + log_a (x^2 +1) - log_a (5)
500
The solution to ln (x+1) - ln x = 2
What is x = 1/(e^2 - 1)