Logarithm Jeopardy

History

100

This is the base of the common logarithm.

What is 10?

200

What the word logarithm means.

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 person who first discovered logarithms.

Who is John Napier?

Expand

100

log(xy)

What is log(x)+log(y)?

200

log(xzw)⁷

What is 7log(x)+7log(z)+7log(w)?

300

log₄xy³

What is log₄x+3log₄y

400

log(xy/zw)

What is log(x)+log(y)-log(z)-log(w)?

500

log(x₃4/y₅)

What is log(x)+log4-5log(y)?

Simplify

100

log₁₀0.000001

What is -6?

200

log₃243

What is 5?

300

log₉27

What is 3/2?

400

log_0.2564

What is -3?

500

log_1.60.625

What is -1?

Condense

100

5logx+5logy

What is log(xy)^5?

200

5log(x)+log(y)-log(z)

What is log(x⁵y/z)?

300

6log(x)+4log(x)-7log(x)

What is log(x)^3?

400

5log(x)-6log(y)-7log(x)

What is log(1/y⁶x^2)?

500

3/2log(x⁴)+2/3log(y⁶)

What is log(x⁶y⁴)?

Solve

100

5^x-4=25^x-6

What is 8?

200

7^3x+4=49^2x+1

What is 2?

300

4^2x-5=64^3x

What is -5/7?

400

log₅(2x-7)=log₅(3x-9)

What is no solution?

500

log₂x+log₂(x-2)=3

What is 4?