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Mathematics

11th Grade

Logarithm Rules
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17 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Rewrite logx95 = 2.3

x2.3 = 95

952.3 = x

2.395 = x

x95 = 2.3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Rewrite 1.6(x+2) = 14.1

log1.614.1 = x+2

log1.6(x+2) = 14.1

log14.1(x+2) = 1.6

log(x+2)1.6 = 14.1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

log(xy2)

logx+2logy

logx+logy2

logx-2logy

logx+logy+log2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify the following: log⁡324−log⁡36\log_324-\log_36  

log⁡318\log_318  

log⁡3144\log_3144  

log⁡34\log_34  

log⁡12\log12  

18log⁡318\log3  

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Expand the following: log⁡(j4k7)\log\left(j^4k^7\right)  

log⁡(4j)+log⁡(7k)\log\left(4j\right)+\log\left(7k\right)  

11log⁡(j+k)11\log\left(j+k\right)  

28log⁡(jk)28\log\left(jk\right)  

4log⁡(j)+7log⁡(k)4\log\left(j\right)+7\log\left(k\right)  

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify the following: log⁡5(3)+log⁡5(r)−log⁡5(w)\log_5\left(3\right)+\log_5\left(r\right)-\log_5\left(w\right)  

log⁡5(3rw)\log_5\left(3rw\right)  

log⁡5(3+r−w)\log_5\left(3+r-w\right)  

log⁡5(3rw)\log_5\left(\frac{3r}{w}\right)  

log⁡5(3r)log⁡5(w)\frac{\log_5\left(3r\right)}{\log_5\left(w\right)}  

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Condense into a single log:

5log⁡72+6log⁡7x5\log_72+6\log_7x  

log⁡7 60x\log_7\ 60x  

log⁡7 25x6\log_7\ 25x^6  

log⁡7 10x6\log_7\ 10x^6  

log⁡7 32x6\log_{7\ }32x^6  

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