Solve: 3 x + 1 = 5 1 − 2 x 3^{x+1}=5^{1-2x} 3 x + 1 = 5 1 − 2 x

ln ⁡ 5 − ln ⁡ 3 ln ⁡ 3 + 2 ln ⁡ 5 \frac{\ln5-\ln3}{\ln3+2\ln5} ln 3 + 2 ln 5 ln 5 − ln 3

ln ⁡ 3 + 2 ln ⁡ 5 ln ⁡ 3 − ln ⁡ 5 \frac{\ln3+2\ln5}{\ln3-\ln5} ln 3 − ln 5 ln 3 + 2 ln 5

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Math

Logarithms

Logarithmic Equations

Solving Exponential And Logarithmic Equations

Solving Exponential and Logarithmic Equations

Authored by Jana Dalton

Mathematics

9th - 12th Grade

CCSS covered

Used 100+ times

Solving Exponential and Logarithmic Equations

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12 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve: $3^{2x-6}=81\$

$6$

$-1,\ 3$

$5$

$7.5$

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve:
$3^{x^2+4}=\ 3^{2x+7}$

$-1,\ 3$

$3$

$-1$

$2$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve:
$2\log x-\log2x=-1$

$0.2$

$0.02$

$2$

$2,\ -2$

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.4

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve:
$5^{x^2-2x}=125$

$3$

$-1,\ 3$

$-1$

$-3,\ 1$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.4

CCSS.HSA.REI.B.4

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve:
$2^x=5$

$\log_25$

$\log_52$

$\ln5$

$\ln2^5$

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve:
$\log_3\sqrt{2x-1}=1$

$5$

$\pm5$

$2$

$1$

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve:
$\log_5\left(2x-3\right)=\log_53$

$3$

$\pm3$

$64$

$123$

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve:
$\log_2\left(x+1\right)+\log_24=3$

$1$

$11$

$4$

$-\frac{1}{4}$

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSA.REI.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve:
$3^{x+1}=5^{1-2x}$

$\frac{\ln5-\ln3}{\ln3+2\ln5}$

$0$

$\frac{2}{13}$

$\frac{\ln3+2\ln5}{\ln3-\ln5}$

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.4

10.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve:
$\log_2x+\log_2\left(x-6\right)=4$

$8,-2$

$8$

$2,-8$

$-2$

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSA.REI.A.1

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Solving Exponential and Logarithmic Equations

Solve: 32x−6=81 3^{2x-6}=81\ 32x−6=81

Solve: 3x2+4= 32x+73^{x^2+4}=\ 3^{2x+7}3x2+4= 32x+7

Solve: 2log⁡x−log⁡2x=−12\log x-\log2x=-12logx−log2x=−1

Solve: 5x2−2x=1255^{x^2-2x}=1255x2−2x=125

Solve: 2x=52^x=52x=5

Solve: log⁡32x−1=1\log_3\sqrt{2x-1}=1log3​2x−1​=1

Solve: log⁡5(2x−3)=log⁡53\log_5\left(2x-3\right)=\log_53log5​(2x−3)=log5​3

Solve: log⁡2(x+1)+log⁡24=3\log_2\left(x+1\right)+\log_24=3log2​(x+1)+log2​4=3

Solve: 3x+1=51−2x3^{x+1}=5^{1-2x}3x+1=51−2x

Solve: log⁡2x+log⁡2(x−6)=4\log_2x+\log_2\left(x-6\right)=4log2​x+log2​(x−6)=4

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Solve: $3^{2x-6}=81\$

Solve:
$3^{x^2+4}=\ 3^{2x+7}$

Solve:
$2\log x-\log2x=-1$

Solve:
$5^{x^2-2x}=125$

Solve:
$2^x=5$

Solve:
$\log_3\sqrt{2x-1}=1$

Solve:
$\log_5\left(2x-3\right)=\log_53$

Solve:
$\log_2\left(x+1\right)+\log_24=3$

Solve:
$3^{x+1}=5^{1-2x}$

Solve:
$\log_2x+\log_2\left(x-6\right)=4$