# Log base equation

Here, we will be discussing about Log base equation.

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## Log Bases and Log equations

log b ( c) = 1 / log c ( b) Logarithm base change rule. log b ( x) = log c ( x) / log c ( b) Derivative of logarithm. f ( x) = log b ( x) ⇒ f ' ( x) = 1 / ( x ln ( b) ) Integral of logarithm. ∫ log b ( x) dx = x ∙ ( log b ( x) - 1 / ln ( b) ) + C. Logarithm of negative

## Basic idea and rules for logarithms

Since we want to transform the left side into a single logarithmic equation, we should use

## Log Base 2

Since log base e is the natural logarithm, ln, this can be written as . Any exponential equation can be written as an exponential equation with base e using the formula: ax=exln (a).

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## Change of Base Formula

Mathematically, Logarithms are expressed as, m is the Logarithm of n to the base b if bm = n, which can also be written as m = logb n. For example, 43 = 64; hence 3 is the Logarithm of 64

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## Change of Base Formula

BE = N logB(N) = E [for B > 0, N > 0, and B not equal to 1] where B is the base of the logarithm and the exponential, E is the exponent, and N is the number (the argument of the logarithm). In chemistry, the pH of acids and bases follows

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