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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