Quiz about PROPERTIES OF LOGARITHMS

Question 1

Question 1.

Accepted Answer

log₅(x²z²y¹⁰)

Answer

log₅(z²y²x¹⁰)

Answer

log(zy²x¹⁰)

Answer

log₅(z² + y²+ x¹⁰)

Question 2

Question 2.

Accepted Answer

24log(u) + 6log(v)

Answer

24log(u) - log(v)

Answer

4log(u) + 6log(v)

Answer

4log(u) - 6log(v)

Question 3

Question 3.

Accepted Answer

6log(a) + 30 log(b)

Answer

60 log(ab)

Answer

6log(a) + log(b)

Answer

log(a) - 30 log(b)

Question 4

Question 4.

Accepted Answer

4ln(x) + 2ln(y)

Answer

2ln(x) + ln(y)

Answer

2ln(x) - 2ln(y)

Answer

4ln(xy)

Question 5

Question 5.

Accepted Answer

log₈(x) + log₈(y) + 6log₈(z)

Answer

6log₈(xyz)

Answer

log₈(x) - log₈(y) - 6log₈(z)

Answer

log₈(x) + log₈(y) - log₈(z)

Question 6

Question 6.

Accepted Answer

6log₂(a) + 3log₂(b)

Answer

6log₂(a) - 3log₂(b)

Answer

6log₂(a) + log₂(b)

Answer

2log₂(a) + 3log₂(b)

Question 7

Question 7.

Accepted Answer

ln(uvw5)

Answer

ln(wvu5)

Answer

ln(u + v + w⁵)

Answer

ln(uvw)5

Question 8

Expand

Accepted Answer

6log₈u-2log₈v

Answer

6log₈v-2log₈u

Answer

3log₈u-2log₈v

Answer

6log₈u+2log₈v

Question 9

Condense

Accepted Answer

logxyz3

Answer

log(xy/z³)

Answer

logx+logy+logz³

Answer

logx³y³z³

Question 10

Condense

Accepted Answer

log₈(x⁶/y³)

Answer

log₈(x⁶)/log₈(y³)

Answer

log₈(x/y³)

Answer

log₈(x⁶y³)

Question 11

Condense

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 12

Condense

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 13

Expand.

Accepted Answer

1/3 log x + 1/3 log y + 1/3 log z

Answer

1/3 log x + log y + log z

Answer

1/3 log x - 1/3 log y - 1/3 log z

Answer

3 log x + 3 log y + 3 log z

Question 14

Write the expression as a single logarithm. Then simplify if possible.
log₅3 + log₅6 + log₅9

Accepted Answer

log5162

Answer

log569

Answer

log556

Answer

log598

Question 15

Write the expression as a single logarithm. Then simplify if possible.
log 6 - log 3 + 2 log 7

Accepted Answer

log 98

Answer

log 78

Answer

log 56

Answer

log 45

Question 16

Write as a single log: log 12 + 2 log x

Accepted Answer

log (12x²)

Answer

log (12 + 2x)

Answer

log (14x)

Answer

log (12 * 2x)

Question 17

Write log_b(xy) as two logs

Accepted Answer

log_bx+log_by

Answer

log_bx-log_by

Answer

log_bx*log_by

Answer

log_bx/log_by

Question 18

Expand

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 19

Expand

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 20

Condense: log₂6+log₂3=

Accepted Answer

log218

Answer

log₂2 = 1

Answer

log23

Answer

log29

Question 21

Expand

Accepted Answer

log₈x+log₈y+5log₈z

Answer

log₈x+log₈y+log₈z

Answer

5log₈x+5log₈y+5log₈z

Answer

log₈xy+5log₈z

Question 22

Expand log₆(5x³/y).

Accepted Answer

log₆5+3log₆x-log₆y

Answer

log₆5x³-log₆y

Answer

log₆5+log₆x³-log₆y

PROPERTIES OF LOGARITHMS

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