Exponents and Logarithms

Evaluating exponents

100

a=4³

What is a=64 ?

200

a=9^3/2

What is a=27 ?

300

a=3^1/33^2/3

a=3

400

a=6^1/224^1/2

a=12

500

a=(2^3.5)²

a=8

Equations with exponents

100

5^x=125

3

200

9^x=27

x=3/2

300

3^x=2^x

x= 0

400

4^2x=32

x=5/4

500

3^2x+2*3^x+1=100

x=2

Evaluating Logarithms

100

log(10²)

2

200

log(1)

0

300

a=log(5)+log(2)

a=1

400

a=log(30)-log(3)

a=1

500

a=2log(2)+log(75)-log(3)

a=2

Equations with Logarithms

100

log(x)=2

x=100

200

log(3x-2)=log(x+4)

x=3

300

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

x=101/99

400

log(x+3)+log(x+2)=1+log(2)

x=2

500

log(x-3)+log(x-3)=2log(x-1)

x=5

Miscellaneous

100

Evaluate without a calculator: a=log(75)+log(4)-log(3)

a=2

200

Solve the equation: 3log(x+50)-log(1000)=3

x=50

300

Solve the equation: 10^log(x)+2=5

x=3

400

Solve the equation: 4^x+2^x-6=0

x=1

500

Solve the equation: 10^x-1=3

x=log(3)+1