Properties of Exponents and Logarithms

(5x²)⁰(9x)²

• 45x⁴

• 81x

• 81x²

• 0

Expand the logarithm: \log\ \frac{x^3}{zy^4}

• log(x) + log(z) + 4log(y)

• 3log(x) − log(z) − 4log(y)

• 3log(x) + log(z) + 4log(y)

• log(x) − 4log(z) − 3log(y)

• log (a⁵ + b²⁵)

• log (a⁵ − b²⁵)

• log (ab²⁵)

• log (a⁵/b²⁵)

Condense the logarithms: 2\log_5z\ +2\log_5x+10\log_5y

• log₅(x²z²y¹⁰)

• log₅(z²y²x¹⁰)

• log(zy²x¹⁰)

• log₅(z² + y² + x¹⁰)

6^log₆36

• 6

• 36

• 1

• 2

What does the b in log_bA=x represent?

• Argument

• Base

• Exponent

• Bottom

• A

• B

• C

• D

log(x⁷)

• log(7x)

• log7+logx

• xlog7

• 7logx

Write the expression as a single logarithm. Then simplify if possible.

log₅3 + log₅6 + log₅9

• log₅69

• log₅56

• log₅162

• log₅98

Evaluate:
log₄16

• 2

• 4

• 1/2

• -2