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Logarithm base 5 5 of 125 125 is 3 3. Tap for more steps... x = 3 x = 3. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.
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18 Ιουλ 2015 · Explanation: log5125 = x. 125 = 5x. we know that: 125 = 53. So, 53 = 5x. x = 3. Answer link. iOS.
Factorize the argument: x = \log_ {10} {5^ {4}} x = log10 54. Express the logarithm of a power of an expression as the power times the logarithm of the expression: x = 4 \times \log_ {10} {5} x = 4× log105. Answer: x = 4 \cdot \lg {5} x = 4⋅lg5. Click to rate: 4.6.
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\displaystyle{{\log}_{{5}}{125}}={3} can be rewritten as \displaystyle{5}^{{3}}={125} . Explanation: When converting a logarithm to an exponential equation, the first thing you can do is ... How do you evaluate \displaystyle{{\log}_{{125}}{5}} ?
log b (x × y) = log b x + log b y. EX: log (1 × 10) = log (1) + log (10) = 0 + 1 = 1. When the argument of a logarithm is a fraction, the logarithm can be re-written as the subtraction of the logarithm of the numerator minus the logarithm of the denominator. log b (x / y) = log b x - log b y.