LOGARITHMS

Converting

100

4^x = 17

what is log4¹⁷ = x

200

log3²⁶ = x-1

what is 26 = 3^(x-1)

300

log4⁹ = 4+x

what is 9 = 4^(4+x)

400

convert and simplify 8(4^x) = 2048

what is log4²⁵⁶ = x

Solving Logs

100

log7⁴⁹ = x

what is x = 2

200

logx¹²⁵ = 3

what is x = 5

300

(2)log⁴ = x  round to the nearest thousandth.

what is 0.301

400

-9 + log⁸ = x to the nearest thousandth

what is x = 9.903

Solving Exponents

100

4^x = 16

what is x = 2

200

3^x = 81

what is x = 4

300

7^x = 117,649

what is x = 6

400

9 + 3^x = 90

what is x = 4

Simplify/Expand

100

log5^x + log5^y

what is log5^(xy)

200

log9^x - log9^y

what is log9^x/y

300

expand log6^(x√y)

what is log7^x + (1/2)log7^y

400

3log^x + (1/3)log^y - log^Z

what is log^{(x^3∛y)/z}

Basics

100

the base of log4¹⁶

what is 4

200

log4¹⁶ = 2 in English

what is, log base four of 16 equals two

300

The property that makes log m^m = 1 true

what is the identity property

400

the property that makes log m¹ = 0 true

zero property