Logarithm Jeopardy

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

log₂3+log₂(x-2)=3

What is 14/3?