Logarithms

Equations

100

7⁰=?

What is log₇(1)=0

200

976^1/670=1.01

What is Log₉₇₆(1.01)=1/670

300

20²=400

What is log₂₀(400)=2

400

36^1/2=6

What is log₃₆(6)=1/2

500

50⁴=6,250,000

What is log₅₀(6,250,000)=4

Evaluate

100

log₁₀1,000

What is 3

200

log₉3

What is 1/2

300

log₁₆256

What is 2

400

log₂1

What is 0

500

log₉81

What is 2

Solve

100

ln(5x+5)=4

What is 9.92

200

log(9x-3)=2

what is 10.78

300

log₉3

What is 1/2

400

log7

What is 0.85

500

e^x+8=40.60

What is 11.70

Expand

100

log(ab⁶)

What is log(a)+6log(b)

200

log(4m⁷p^1/2)

What is log(4)+7log(m)+1/2log(p)

300

ln(a1/b)

What is ln(a)+ln(1)-ln(b)

400

log(a⁸c/ z)

8log(a)+log(c)-log(z)

500

log(10²b³z¹⁰)

What is 2log(10)+3log(b)+10log(z)

Condense

100

log₄9+2log₄x

What is log₄(9x²)

200

log₈b-log₈c+log₈a

What is log₈(ba/c)

300

4ln(a)+ln(b)-ln(z)

What is ln(a⁴b/z)

400

log₂(h)+5log₂(w)+9log₂(z)

What is log₂(hw⁵z⁹)

500

1/2ln(c)-ln(a)+ln(b)

What is ln(square root(c)b/a