$$\left(\frac{1}{5}\right)^{\left(x-2\right)}=125^{\left(2x-5\right)}$$ What would be the BEST first step in solving the equation?

Rewrite the bases as powers of 5

Use expansion to "bring the exponents down"

Set the exponents equal to each other

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

nothing, you would not be able to solve it

Logarithms Review A3

10th - 12th Grade

•

43 Qs

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Logarithms Review A3

Quiz

•

Mathematics

•

10th - 12th Grade

•

Practice Problem

•

Easy

•

CCSS

HSF.BF.B.5, HSF.LE.A.4, HSF-IF.C.7E

+13

Standards-aligned

Karen Kohr

Used 10+ times

FREE Resource

43 questions

Show all answers

MULTIPLE CHOICE QUESTION

1 min • 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

1 min • 1 pt

log₅25 = ?

125

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Write in exponential form.
log₂(¹/₈) = -3

2^-3 = ¹/₈

2^1/8= -3

-3² = ¹/₈

-3^1/8 = 2

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Condense: log₂6+log₂3=

log₂18

log₂2 = 1

log₂3

log₂9

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Expand.

1/3 log x + log y + log z

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

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

3 log x + 3 log y + 3 log z

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write as a single log: log₃ 12 + 2 log₃ x

log₃ (12 + 2x)

log₃ (14x)

log₃ (12 * 2x)

log₃ (12x²)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Expand log₃(9x²)

3+2log₃x

log₃9+2log₃x

2+2log₃x

log9+2logx

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

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Logarithms Review A3

43 questions

Rewrite 3⁴ = 81 in logarithmic form.

log₅25 = ?

Write in exponential form.
log₂(¹/₈) = -3

Condense: log₂6+log₂3=

Expand.

Write as a single log: log₃ 12 + 2 log₃ x

Expand log₃(9x²)

Expand log₆(5x³/y).

Expand/Write as multiple logs.
log₅(2x³)

Solve for x.
5^x = 1

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Popular Resources on Wayground

Discover more resources for Mathematics

Logarithms Review A3

43 questions

Rewrite 34 = 81 in logarithmic form.

log525 = ?

Write in exponential form.log2(1/8) = -3

Condense: log26+log23=

Expand.

Write as a single log: log3 12 + 2 log3 x

Expand log3(9x2)

Expand log6(5x3/y).

Expand/Write as multiple logs.log5(2x3)

Solve for x.5x = 1

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Rewrite 3⁴ = 81 in logarithmic form.

log₅25 = ?

Write in exponential form.
log₂(¹/₈) = -3

Condense: log₂6+log₂3=

Write as a single log: log₃ 12 + 2 log₃ x

Expand log₃(9x²)

Expand log₆(5x³/y).

Expand/Write as multiple logs.
log₅(2x³)

Solve for x.
5^x = 1