Logarithm

History

100

This is the base of the common logarithm.

What is 10?

200

What does the word logarithm mean?

What is ratio number?

300

This is the year logarithms were invented

What is 1614?

400

This was invented in 1622 and was based on logarithms.

What is the slide rule?

500

The first person who created logarithms.

Who is John Napier

Laws of Logarithms

100

What is Log of Base?

What is LogbX=y?

200

What is Log of Addition?

What is LogbM + LogbN?

300

What is log of multiplication?

What is LogbMN?

400

What is Log of Subtraction?

What is LogbM-LogbN?

500

What is Log of Division?

What is LogbM-LogbN=LogbM\N

Inverse of Logs

100

Find the inverse of y=log₃x

What is y=3^x ?

200

What is the inverse of y=log₂x³

What is y=2^x/3?

300

Find the inverse of y=10^x

What is y=log₁₀x?

400

Find the inverse of y=3^x+4

What is y=log₃(x-4)?

500

Find the inverse of y=4^(x/2)

What is y=2*log4x?

Exponential Equations

100

Solve 4^x=8^x-2

What is x=6?

200

Solve 5^x+1=(1/25) 

What is x=-3

300

Solve 10^x=74

What is 1.8692?

400

Solve -10*8^-5x=-81

What is 0.2012?

500

Sovle -4*e^2.2x-7+1=-59

What is x = 4.4128?

Logarithmic Equations

100

Solve log(5x-7) = log(3x-1)

What is x=3?

200

Solve log₁₄(6x-1) = log₁₄(v²-17)

What is x=8?

300

solve log x - log 2 = 1

What is x=20?

400

Solve log 3x² - log 3 = 2

What is x = 10, -10?

500

Solve ln (5-2x) +ln 9 = 4

What is x = -0.5332?