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Introduction

If log4 44 ...

Question

If ${log}_{4} 44 = x$ , what is the approximate value of $x$ ?

A

2.73

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B

2.7

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C

1.67

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D

1.64

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E

1.61

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Solution

The correct option is B 2.73
Given, $x = {log}_{4} 44$
$∴ x = {log}_{4} (11 \times 4)$
$= {log}_{4} 11 + {log}_{4} 4$
$= 1 + {log}_{4} 11$
$= 2.73$

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