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11th
-
12th
grade

Mathematics

67%

accuracy

34

plays

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4 years

Mathematics

11th -

12thgrade

Introduction to Logarithms

user

34
plays

12 questions

12 questions

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1. Multiple Choice
2 minutes
1 pt
Express log₂32 = 5 in exponential form.
5² = 32
2³² = 5
2⁵ = 32
32⁵ = 2
2. Multiple Choice
2 minutes
1 pt
Write 10^x = y in logarithmic form.
log(y) = x
log_x10 = y
log_y(x) = 10
log(x) = y
3. Multiple Choice
2 minutes
1 pt
Express x^y= m in logarithmic form.
log_mx= y
log_xm = y
log_ym = x
log_yx = m
4. Multiple Choice
2 minutes
1 pt
Express log_x(4) = m + 1 in exponential form.
x⁴ = m + 1
4^x = m + 1
x^m+1 = 4
4^m+1 = x
5. Multiple Choice
2 minutes
1 pt
Evaluate log₅125.
1
2
3
25
6. Multiple Choice
2 minutes
1 pt
Evaluate log₂(1/2).
-1/2
-1
1
-2
7. Multiple Choice
2 minutes
1 pt
Evaluate log_b1, where b>1.
0
1
10
undefined
8. Multiple Choice
2 minutes
1 pt
Evaluate log_bb, where b>1.
0
1
10
undefined
9. Multiple Choice
2 minutes
1 pt
Evaluate log_aa³.
3a
1
3
a³
10. Multiple Choice
2 minutes
1 pt
Evaluate 3log_bb⁴, where b>1.
3
4
7
12
11. Multiple Choice
5 minutes
1 pt
Given that pH = -log[H₃O⁺], determine the [H₃O⁺], in mol/L, if the pH is 2.5.
316.2 mol/L
4.0 mol/L
25.0 mol/L
3.16x10^-3 mol/L
12. Multiple Choice
5 minutes
1 pt
Given that pH = -log[H₃O⁺], determine how many times more acidic, in terms of the [H₃O⁺] concentration, a solution with a pH of 3.2 is compared to a solution with a pH of 7.9.
0.4
2.5
50 118.7
1.3 x 10¹¹
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