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100

Simplify 2³x2⁴

2⁷=128

200

Simplify 5⁷/5³

5⁴=625

300

Simplify (3²)³

3⁶=729

400

Single Exponent

7³x7²x7⁵

7¹⁰

500

Simplify 8⁶/(8²x8³)

8¹=8

Log It In

100

What is log₁₀(1)?

0

200

Simplify ln(e⁴)

4

300

Evaluate log₂(32)

5

400

Write as exponential function
log₃(27)=x

3^x=27

500

Use change of base
log₃(81)

ln(81)/ln(3)=4

Solve for x

100

Solve 3^x=9

x=2

200

Solve log₅(x)=3

x=125

300

Solve 2^x+1=16

x=3

400

Solve 10^2x=1000

x=1.5

500

Solve 5^x-2=125

x=5

Expand or Condense

100

Expand log(ab)

log(a)+log(b)

200

Expand log(a/b)

log (a)-log(b)

300

Expand log (a³)

3log(a)

400

Condense log(a)+2log(b)

log(ab²)

500

Condense 2log(x)-log(y)

log(x²/y)

Mixed Madness

100

True or False?
log(1)=0

True

200

Solve ln(x)=2

x=e²

300

Solve 2^x=5^x-2

x=2ln5/(ln5-ln2)

400

Solve ln(x+1)=ln(7)

x=6

500

Solve 2^x+4=12

x=3