Exponential and logarithmic functions
Expand a logarithmic expression into a sum and difference of simpler logs using the product, quotient, and power properties…
Write any whole number in exponential form via prime factorization (250 = 2 × 5³), or convert between logarithmic and exponential…
Solve an exponential function y = a·bˣ (or y = p·e^{k·x}) from two points, or evaluate it at any x or y value. Type "e" to…
Calculate the negative logarithm −logₐ(x) = logₐ(1/x) of any positive number with any base instantly. Shows the pH-style…
Condense a logarithmic expression into a single logarithm using the power, product, and quotient rules of logarithms. Enter…
Calculate the natural logarithm ln(x) = log_e(x) of any positive number instantly. Shows the change-of-base formula (log₁₀,…
Calculate any logarithm using the change of base formula: log_b(x) = log_a(x) / log_a(b). Supports natural (e), common (10),…
Calculate e raised to the power of x instantly. Shows eˣ value, Taylor series, related values, and practical applications:…
Calculate exponential growth or decay using x(t) = x₀ × (1 + r/100)^t. Find final value or time to reach a target. Supports…
Calculate the logarithm of any positive number with base 10, natural (e), binary (2), or custom base. Shows step-by-step…
Calculate the binary logarithm log₂(x) of any positive number instantly. Supports metric (SI) and binary (US/IEC) measurement…
Calculate the antilogarithm (inverse log) of any number with any base — base 10, natural (e), binary (2), or custom. Includes…
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