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3 votes
What is the approximate value of this logarithmic expression?

log8 24
OA.
0.90
OB.
1.53
0.48
OD.
1.38

What is the approximate value of this logarithmic expression? log8 24 OA. 0.90 OB-example-1

1 Answer

8 votes

Answer:


log_8{24} = 1.53

Explanation:

Given


log_8{24}

Required

Solve:

Apply the following law of logarithm:


log_a{b} = (log\ b)/(log\ a)

So, we have:


log_8{24} = (log\ 24)/(log\ 8)

Using calculator, we have:


log_8{24} = (1.38021124171)/(0.90308998699)


log_8{24} = 1.52832083358

Approximate


log_8{24} = 1.53

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