Exponents And Logarithms Quiz 1
Exponents and Logs
Questions and Answers
- 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.Rate this question:
- 2.
Log82
Explanation
8^x = 2
2^3x = 2^1
3x = 1
x = 1/3Rate this question:
- 3.
Ln(e4)
Explanation
log base 3 of e^4 has to be 4.
e^x = e^4, so x = 4Rate this question:
- 4.
Log25(1/5)
Explanation
25^(1/2) is the sqrt of 25 = 5, to get it in the denominator, make the power negative.Rate this question:
- 5.
Logx256=2
Explanation
x^2=256
x=sqrt(256) = 16Rate this question:
- 6.
Log(1/10,000)
Explanation
10^(-4) = 1/(10^4) = 1/10,000Rate this question:
- 7.
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.Rate this question:
- 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 = 1000Rate this question:
- 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.Rate this question:
- 10.
Where would the vertical asymptote of the graph y = log3(x - 4) be?
Explanation
shift 4 units rightRate this question:
- 11.
Explanation
216 = 6^3, so the fourth root of 216 = 6^(3/4)Rate this question:
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Mar 21, 2023Quiz Edited by
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Feb 08, 2011Quiz Created by
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