Properties of Logarithms

Expand the logarithmic expression using the product property of exponents.

log4 3y

 A. 4 log 3y B. log43 + log4y C. log43 • log4y D. 3 log4y

Expand the logarithmic expression using the quotient property of exponents.

log5 (15/4)

 A. log515 + log54 B. log515 – log54 C. log54 – log515 D. log53.75

Expand the logarithmic expression using properties of logarithms.

log3 5x^2

A.

B.

C.

D.

2(log3 5 + log3 x)

If log6 2 ≈ 0.3869, estimate the value of log6 32.

5.3333

82.7087

1.9345

12.3808

If log4 2 = 0.5 and log4 3 ≈ 0.7925, estimate the value of log4 96.

3.2925

1.9813

1.9823

5.7925

If log6 2 ≈ 0.3869 and log6 3 ≈ 0.6131, estimate the value of log6 3/2.

0.2262

0.6311

1

-0.2262

What is log3 5 + log3^ 2 – log3 10 equal to?

D. 1

Solve the equation.

log2 (y + 2) – log2 (y – 2) = 1

y = 6

y = 4

y = 2, -2

y = -2

Solve the equation.

log5 64 – log5 8/3+ log5 2 = log5 (4p)

p = 15.8

p = 1 ⅓

p = 85 ⅓

p = 12

Solve the equation.

log6 (a + 2) + log6 2 = 2

a = 70

a = 2

a = 16

a = 4

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