Logarithm Expression Evaluation

MathematicsLogarithmsEasyYKS

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$$36^{\log_4 2}$$

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Step by Step Written Solution

1
Step 1

Merhaba Kevser, gel bu logaritma sorusunu birlikte adım adım çözelim.

Logaritma İşlemi

2
Step 2

Sorumuz otuz altı üzeri logaritma dört tabanında iki.

$$36^{\log_{4} 2}$$
3
Step 3

Önce üstteki logaritma kısmını basitleştirelim. Dört tabanında iki ifadesi, dört ikinin karesi olduğu için logaritma kuralıyla bir bölü ikiye eşittir.

$$\log_{4} 2 = \log_{2^2} 2 = \frac{1}{2}$$

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About This Question

Subject
Mathematics
Topic
Logarithms
Difficulty
Easy
Exam
YKS

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