Exponents And Logarithms Quiz 1

  • CCSS.Math.Content.HSA-SSE.B.3
  • CCSS.Math.Content.HSF-LE.A.4
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Quizzes Created: 29 | Total Attempts: 21,620
| Attempts: 609 | Questions: 11 | Updated: Mar 21, 2025
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1) Log3(1/27)

Explanation

The expression log3(1/27) can be rewritten as log3(3^-3). Since log3(3^-3) is the exponent to which we need to raise 3 to obtain 3^-3, the answer is -3.

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About This Quiz
Exponents And Logarithms Quiz 1 - Quiz

Exponents and Logarithms Quiz 1 assesses understanding of logarithmic calculations and exponent relationships. It covers problems like solving logarithmic equations and evaluating natural logs, crucial for advanced mathematical proficiency.

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2) Ln(e4)

Explanation

log base 3 of e^4 has to be 4.
e^x = e^4, so x = 4

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3) Logx256=2

Explanation

x^2=256
x=sqrt(256) = 16

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4) Log82

Explanation

8^x = 2
2^3x = 2^1
3x = 1
x = 1/3

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5) Log(1/10,000)

Explanation

10^(-4) = 1/(10^4) = 1/10,000

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6) Log25(1/5)

Explanation

25^(1/2) is the sqrt of 25 = 5, to get it in the denominator, make the power negative.

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7)

Explanation

216 = 6^3, so the fourth root of 216 = 6^(3/4)

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8) How much money did you invest compounded continuously if ended up with $1491.82 after 10 years at an interest rate of 4%?

Explanation

1491.82=Pe^(.04*10)
1491.82=P(1.49182)
P = 1000

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9) How much more acidic is a liquid that is given a pH number of 2 than a pH number of 4?

Explanation

The difference in the exponents is 2 - that is 10^2 difference in acidity.

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10) What is the inverse of y = log7x?Use ^ to indicate an exponent

Explanation

An exponential equation with the same base is the inverse of a logarithmic equation.

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11) Where would the vertical asymptote of the graph y = log3(x - 4) be?

Explanation

shift 4 units right

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Log3(1/27)
Ln(e4)
Logx256=2
Log82
Log(1/10,000)
Log25(1/5)
How much money did you invest compounded continuously if ended up with...
How much more acidic is a liquid that is given a pH number of 2 than a...
What is the inverse of y = log7x?Use ^ to indicate an exponent
Where would the vertical asymptote of the graph y = log3(x - 4) be?
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