对数计算器

计算常用对数(log₁₀)、自然对数(ln)和自定义底数的对数,并显示计算步骤。

输入数值

输入一个数字来计算其对数。

计算结果

Common Logarithm Result

2

计算步骤

1

log₁₀(100)

Common logarithm (base 10)

2

2

10^x = 100

Find x such that 10^x equals the number

2

对数类型比较

log₁₀

Common Log

2

ln

Natural Log

4.605170186

log₂

Base 2

6.64385619

对数公式参考

对数函数的定义和公式。

log₁₀(x)

Common logarithm: Logarithm with base 10

Example: log₁₀(100) = 2 (10² = 100)

ln(x)

Natural logarithm: Logarithm with base e(≈2.71828)

Example: ln(e) = 1, ln(1) = 0

log_b(x) = ln(x) / ln(b)

Change of base formula: Logarithm for any base b

Example: log₂(8) = ln(8) / ln(2) = 3 (2³ = 8)

对数计算器说明

Logarithm is the inverse operation of exponentiation. log_b(x) represents "what power should b be raised to get x". All calculations are performed in your browser. No data is sent to any server.

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