# Exponents And Logarithms Quiz 1

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Annacabral
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Quizzes Created: 29 | Total Attempts: 18,631
Questions: 11 | Attempts: 541

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Exponents and Logs

• 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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• 2.

### Log82

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

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• 3.

### Ln(e4)

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

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• 4.

### 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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• 5.

### Logx256=2

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

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• 6.

### Log(1/10,000)

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

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• 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.

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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.

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

Explanation
shift 4 units right

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• 11.
Explanation
216 = 6^3, so the fourth root of 216 = 6^(3/4)

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