Quiz 6.1-6.3 Review

Lesson 6.1

100

Rewrite the equation in exponential form.

log₃81=4

3⁴=81

200

Rewrite the equation in exponential form.

ln8=2.08

e^2.08=8

300

Rewrite the equation in logarithmic form.

10⁴=10,000

log(10,000)=4

400

Evaluate.

log₁₂₁11

x=1/2

500

Evaluate.

log_1/5625

x=-4

Lesson 6.2

100

Condense into a single logarithm.

4log₃x-2log₃y

log₃(x⁴/y²)

200

Expand the logarithm completely.

log₄(3a⁷c/5)

log₄3+7log₄a+log₄c-log₄5

300

Condense into a single logarithm.

1/3 (log₇64+2log₇27)

log₇36

400

Condense into a single logarithm.

2log(x-4)+log(3x)

log(3x³-24x²+48x)

500

Expand the logarithm completely.

log(5sqrt(u)/w²)³

log125+3/2logu-6logw

Lesson 6.3

100

Solve.

3^2x+7=3^6x-21

x=7

200

Solve.

(3^p-7)(3^2p+1)=3^8p-36

p=6

300

Solve.

49^{2x^2+3}=343^{x^2+5}

x=-3, x=3

400

Solve.

(1/2)² (4)^3d=1

d=1/3

500

Solve.

(243) (1/9)^-u=27^-5u

u=-5/17