Exponential
Logs
Ln
Change of Base
Mixed
100
Solve 9^x = 3^(x-2)
x= -2
100
Solve log7 (5) + log7 (x) = 1
x= 7/5
100
Solve Ln 5 + Ln x =1
x= e/5
100
Solve 16 = 3^4x
x= log 16/ 4log 3
100
Solve log x + log (x+9) = 1
x=1 x=-10 <--- Extraneous
200
Solve 2^x = 4^(x+1)
x= 2
200
Solve log (5x-2) - log (x+1)= 1
x= -12/5
200
Solve Ln 5 - Ln x = 3
x= e^3/ 5
200
Solve 3^2x = 2
x= log 2/ 2log 3
200
Solve e^(Ln x^3) = 64
x= 4
300
Solve 2^(x+2) = 64
x=4
300
Solve log3 (x-5)= 2
x= 14
300
2Ln(x) - 2 = 0
x= e
300
Solve 5^3x = 17
x= log 17/ 3log 5
300
Solve 3^x = 81^(x+1)
x= -4/3
400
Solve 2^(x-1) = 1/64
x=-5
400
Solve log (45x) - log (3) = 1
x= 2/3
400
Solve e^(Ln x^3)= 8
x=2
400
Solve 9^x = 13
x= log 13/ log 9
400
Solve 6^(4x) = 21
x= log 21/ 4log 6
500
Solve 8^x = 2^(x+6)
x= 3
500
Solve log4 (x^2)= 7
x= 2^7 or 128
500
Solve Ln 10 + Ln x^2= 10
x= e^5/sqr rt of 10
500
5^(x-2) = 200
x= 2 + log 200/ log 5
500
Solve log2 (7x+1) = log2 (2-x)
x= 1/8
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