Solving Logs Lns and Exponential Solving

Authored by Anthony Clark

Mathematics

11th Grade

CCSS covered

Solving Logs Lns and Exponential Solving

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9 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Rewrite log_pt = m in exponential form.

p^t = m

t^m = p

m^t = p

p^m = t

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Rewrite in exponential form:
2=log₉x

9^x=2

2^x=9

2⁹=x

9²=x

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Change to Exponential Form:
log₆36 = 2

2⁶=36

6²=36

36²=6

36⁶=2

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Evaluate log₅20 to the third decimal place

0.537

2.996

1.301

1.861

MULTIPLE CHOICE QUESTION

1 min • 1 pt

e^ln(f)

e^f

undefined

Tags

CCSS.HSF.BF.B.5

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Use the properties of logarithms to find the exact value of each expression.

$\log_a1=$

(a)

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Use the properties of logarithms to find the exact value of each expression.

$\log_aa=$

(a)

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Use the properties of logarithms to find the exact value of each expression.

$\log_82+\log_84=$

(a)

MULTIPLE CHOICE QUESTION

1 min • 1 pt

True or False

$\ln\left(x+3\right)-\ln\left(2x\right)=\frac{\ln\left(x+3\right)}{\ln\left(2x\right)}$

True, subtraction between two logarithms is division in condensed form.

True, a logarithm is an exponent. When dividing like bases you subtract exponents therefor dividing logarithms as in this example.

False, subtraction between two logarithms is division within a single logarithm in condensed form.

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Solving Logs Lns and Exponential Solving

Rewrite logpt = m in exponential form.

Rewrite in exponential form: 2=log9x

Change to Exponential Form:log636 = 2

Evaluate log5 20 to the third decimal place

eln(f)

Use the properties of logarithms to find the exact value of each expression. log⁡a1=\log_a1=loga​1= (a)

Use the properties of logarithms to find the exact value of each expression. log⁡aa=\log_aa=loga​a= (a)

Use the properties of logarithms to find the exact value of each expression. log⁡82+log⁡84=\log_82+\log_84=log8​2+log8​4= (a)

True or False ln⁡(x+3)−ln⁡(2x)=ln⁡(x+3)ln⁡(2x)\ln\left(x+3\right)-\ln\left(2x\right)=\frac{\ln\left(x+3\right)}{\ln\left(2x\right)}ln(x+3)−ln(2x)=ln(2x)ln(x+3)​

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Rewrite log_pt = m in exponential form.

Rewrite in exponential form:
2=log₉x

Change to Exponential Form:
log₆36 = 2

Evaluate log₅20 to the third decimal place

e^ln(f)

Use the properties of logarithms to find the exact value of each expression.

$\log_a1=$

(a)

Use the properties of logarithms to find the exact value of each expression.

$\log_aa=$

(a)

Use the properties of logarithms to find the exact value of each expression.

$\log_82+\log_84=$

(a)

True or False

$\ln\left(x+3\right)-\ln\left(2x\right)=\frac{\ln\left(x+3\right)}{\ln\left(2x\right)}$