Logarithms

Crazy Converting Part 1

100

5^-3=(1/125)

log_(5)(1/125)=-3

200

7^2=49

log_(7)(49)=2

300

256=16^2

log_16(256)=2

400

x^-q=k

log_(x)(k)=-q

500

e^-s=l

log_(e)(1)=-s

Crazy Converting Part 2

100

1/2=log_64(8)

8=64^(1/2)

200

log_(14)(1/196)=-2

14^(-2)=1/196

300

1/2=log_121(11)

121^(1/2)=11

400

g=log_(j)(-t)

 

j^g=-t

500

log_(-x)u=z

(-x)^z=u

Elegant Evaluating

100

log_(4)(16)

2

200

log_(8)512

3

300

log_(2)14

log(14)/log(2)

400

log_6(-1/1296)

-4

500

log₉1

0

Condensing la la Logs

100

ln(3)+ln(x)

ln(3x)

200

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

log(x^2/(x+1))

300

2ln(x)-3ln(y)

ln(x^2/y^3)

400

log(4)+2log(x)-log(8)

log(x^2/2)

500

log(x)-2log(y)-4log(z)

log(x/(y^2z^4))

Expanding la la Logs

100

log(4x^5)

log(4)+5log(x)

200

log((xy^2)/z)

log(x)+2log(y)-log(z)

300

ln((4x)/y^2)

ln(4)+ln(x)-2ln(y)

400

ln((x^3)/(yz))

3ln(x)-ln(y)+ln(z)

500

log((5x^2)/(j))

log(5)+2log(x)-log(j)