Logarithms

Condense/Expand

100

log_b(7)+log_b5

What is log_b(35)

200

ln(x³/y)

What is 3lnx-lny

300

log₉(2xy²)

What is log₉(2)+log₉(x)+4log₉(y)

400

3log_b(x)-(log_b(4)+log_b(x))

What is log₃(x³/4x)

500

.5log_b(M)+log_b(2)-6log_b(x)

What is log_b(2M^.5/x⁶)

Convert to Exponential Form/Radical Form

100

log(6)36=2

What is 6^2=36

200

K^3=343

What is log(k)343=3

300

X^3=27

What is log(27)3

400

9^-2=1/81

What is log(9)1/81=-2

500

Solve and write in exponential form 64=log(1/4)X

What is 1/4^-3=64

Solve

100

log₂(16)

What is 4?

200

log₇(49)

What is 2?

300

log₆(216)

What is 3?

400

log₅(x)=3

What is 125?

500

log(x-5) - log(10) = log(2)

What is x=25

Logs

100

You can't plug that kind of number into a logarithm.

What is a negative number?

200

log₃(3^x-2)=1

What is 3?

300

log(x)+log(4)=log(8)

What is x=2?

400

log_3(sqrt(x))-log_3(2)=log_3(10)

What is x=400?

500

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

What is x=52?

Convert to Logarithm

100

what is 4^2=16 in Log form

What is log(4)16=2

200

what is log(5)125 inverse

What is 5^3=125

300

what is the inverse of log(64)4

What is 64^1/3=4

400

rewrite u^-14=v in logarithm form

What is log(u)V=-14

500

rewrite log(8)4

What is 8^2/3=4