NFHS Logarithms Game - Traa

Evaluate

90

log₄16

2

150

log₃27

3

350

log₂32

5

550

log₃81

4 

650

log₅125

3

Condense Power Func.

90

3log₂3

log₂3³ --> log₂27

150

6log₈2

log₈2⁶

350

2log₈X

log₈X²

550

2log₈Y

log₈Y²

650

7log₄2+3log₆X+4log₄Z

log₆X³+log₄(7²Z⁴)

Expand Log

90

log₃(x*y)²

2log₃X+2log₃Y

150

log₆(10*11⁵)

log₆10+5log₆11

350

log₃(2X)²

2(log₃2+log₃X)

550

log₄(x²/3y)

2log₄X - log₄3 - log₄Y

650

log₄(3xyz)²

2log₄3+2log₄X+2log₄Y+2log₄Z

Inverse

90

y=log₃(x)+1

f^-1(x)=3^(x-1)

150

y=2log₉X

f^-1(x)= 9^(x/2)

350

y=log₂X

f^-1(x)= 2^x

550

y=log₅(2x-1)- 9

f^-1(x)= 5^(x+9)+1 divided by 2 

650

y=2log₄(x-3)+5

f^-1(x)= 4^x-5/2 +3

Calculate

90

log₂30

4.907

150

log₆13

1.432

350

log₆40

2.059

550

log₄3.5

0.904

650

log₇8.7

1.112