Exponential And Logarihmic

Exponential Equation

100

Solve 4^3x=8^x+1

x = 1

200

Solve 2^4x = 32^x-1

x = 5

300

Solve 3^x = 25

x= 2.930

400

8^x = 4

x = 2/3

500

2 log (4) x - log (4) (x-1) = 1

x = 2

Logarithmic Equations

100

Solve log x = 35 for x

x = 10^35

200

Solve log(3)[5x-1]=log(3)[x+7]

x = 2

300

Solve log(5)[3x+1]=2

X=8

400

Solve log[5x]+log[x+1]=2

x = 4

500

Solve log(2)[x]+log(2)[x-7]=3

x = 8

Properties of Logarihms

100

Expand the expression: log5mn 

log 5 + log m + log n

200

Condense the expression: log 6 + 2 log 2 - log 3

log 8

300

Condense the expression: log(9)2 + 3log(9)x

log(9) 2x^3

400

Expand: log 4x^3/(6x)

3logx+log4-logx-log6

500

Expand: log(5)7t^3

log(5)7+3log(5)t