You want to solve for x. Which of these is the correct "step 1"?

log ⁡ 7 8 = log ⁡ 7 x \log_78=\log_7x lo g 7 8 = lo g 7 x

log ⁡ 7 42 = log ⁡ 7 x \log_742=\log_7x lo g 7 4 2 = lo g 7 x

log ⁡ 7 48 = log ⁡ 7 ( x 6 ) \log_748=\log_7\left(\frac{x}{6}\right) lo g 7 4 8 = lo g 7 ( 6 x )

log ⁡ 7 54 = log ⁡ 7 x \log_754=\log_7x lo g 7 5 4 = lo g 7 x

log ⁡ 6 + 3 log ⁡ 3 4 log ⁡ 3 − 2 log ⁡ 6 \frac{\log6+3\log3}{4\log3-2\log6} 4 lo g 3 − 2 lo g 6 lo g 6 + 3 lo g 3

log ⁡ 6 − 3 log ⁡ 3 4 log ⁡ 3 − 2 log ⁡ 6 \frac{\log6-3\log3}{4\log3-2\log6} 4 lo g 3 − 2 lo g 6 lo g 6 − 3 lo g 3

2 log ⁡ 6 + log ⁡ 6 4 log ⁡ 3 − 3 log ⁡ 3 \frac{2\log6+\log6}{4\log3-3\log3} 4 lo g 3 − 3 lo g 3 2 lo g 6 + lo g 6

4 log ⁡ 2 ( 2 x + 24 ) − 17 = − 9 4\log_2\left(2x+24\right)-17=-9 4 lo g 2 ( 2 x + 2 4 ) − 1 7 = − 9 Once you have isolated the log in the equation, what would be the next step?

nothing, you would not be able to solve it

Express as a single logarithm with base 4

log ⁡ 4 ( 3 ) \log_4\left(3\right) lo g 4 ( 3 )

0.792481 0.792481 0 . 7 9 2 4 8 1

1 2 ⋅ log ⁡ 2 ( 3 ) \frac{1}{2}\cdot\log_2\left(3\right) 2 1 ⋅ lo g 2 ( 3 )

log ⁡ 4 ( 9 2 ) \log_4\left(\frac{9}{2}\right) lo g 4 ( 2 9 )

x = 14 3 x=\frac{14}{3} x = 3 1 4

Solve for x. Round your answer to 3 decimal places.

x = 49.471 x=49.471 x = 4 9 . 4 7 1

x = 33 , 333.333 x=33,333.333 x = 3 3 , 3 3 3 . 3 3 3

x = 1.667 x=1.667 x = 1 . 6 6 7

Round to 3 decimal places if necessary.

x = 2.101 x=2.101 x = 2 . 1 0 1

x = 8.524 x=8.524 x = 8 . 5 2 4

ln ⁡ ( 18 ) + 3 ln ⁡ ( x ) + ln ⁡ ( y ) \ln\left(18\right)+3\ln\left(x\right)+\ln\left(y\right) ln ( 1 8 ) + 3 ln ( x ) + ln ( y )

3 ln ⁡ ( 18 ) + 3 ln ⁡ ( x ) + ln ⁡ ( y ) 3\ln\left(18\right)+3\ln\left(x\right)+\ln\left(y\right) 3 ln ( 1 8 ) + 3 ln ( x ) + ln ( y )

3 ln ⁡ ( 18 x ) + ln ⁡ ( y ) 3\ln\left(18x\right)+\ln\left(y\right) 3 ln ( 1 8 x ) + ln ( y )

3 ln ⁡ ( 6 x ) + ln ⁡ ( y ) 3\ln\left(6x\right)+\ln\left(y\right) 3 ln ( 6 x ) + ln ( y )

College Algebra Final REV CH 4 LOGS

Authored by AMY CLARK

Mathematics

University

CCSS covered

Used 14+ times

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Rewrite 3⁴ = 81 in logarithmic form.

log₃4 = 81

log₈₁3 = 4

log₃81 = 4

log₄81 = 3

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write in logarithmic form
2^-4 = ¹/₁₆

log₂(¹/₁₆) = -4

log_-4(¹/₁₆) = 2

log_-4 2 = ¹/₁₆

log₂(-4) = ¹/₁₆

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write in exponential form
log₂32 = 5

2^-5 = 32

2³² = 5

2⁵ = 32

32⁵ = 2

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve for x:
log_x25 = 2

-5

1/5

-1/5

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve for x.
3^x = 27

Tags

CCSS.HSF.LE.A.4

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Evaluate.
log₃81

¹/₄

-4

-¹/₄

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Evaluate log₄1

undefined

Tags

CCSS.HSF.BF.B.5

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