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Free Logarithms Calculator - Simplify logarithmic expressions using algebraic rules step-by-step
Free logarithm calculator - step-by-step solutions to help simplify logarithmic expressions.
This log calculator (logarithm calculator) allows you to calculate the logarithm of a (positive real) number with a chosen base (positive, not equal to 1). Regardless of whether you are looking for a natural logarithm, log base 2, or log base 10, this tool will solve your problem.
This free log calculator solves for the unknown portions of a logarithmic expression using base e, 2, 10, or any other desired base.
Rewrite as an equation. Rewrite log5 (125) = x log 5 (125) = x in exponential form using the definition of a logarithm. If x x and b b are positive real numbers and b b does not equal 1 1, then logb (x) = y log b (x) = y is equivalent to by = x b y = x. Create equivalent expressions in the equation that all have equal bases.
Explanation: Use a property of all logarithms: \displaystyle{{\log}_{{5}}{\left({132}\right)}}=\frac{{{\log}_{{10}}{\left({132}\right)}}}{{{\log}_{{10}}{\left({5}\right)}}} ... Given that log 2 = 0.3010 and log 3 = 0.4771, the value of \log_{5}512 is equal to: (a) 2.870 (b) 2.967 (c) 3.876 (d) 3.912?
\displaystyle{5}^{{x}}={625} \displaystyle{x}={4} Explanation: The definition of a logarithm says : \displaystyle{{\log}_{{b}}{x}}={y}\Leftrightarrow{b}^{{y}}={x} In other words you ... How do you solve for \displaystyle{{\log}_{{x}}{125}}={3} ?
