What is a logarithm and how do you solve log equations?

February 19, 2026Computer Science

ScanSolve AI Answer

February 19, 2026

Answer

$y means b^y = x$

A logarithm answers the question: "What exponent do I need?"

log_b(x) = y means b^y = x

Example: log₂(8) = 3 because 2³ = 8

Key properties: • log(ab) = log(a) + log(b) • log(a/b) = log(a) − log(b) • log(aⁿ) = n·log(a) • log_b(1) = 0 (anything to the 0 is 1) • log_b(b) = 1

Common bases: log₁₀ (common log, written as "log"), logₑ (natural log, written as "ln"), log₂ (used in computer science).

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question

More Computer Science Questions

QIn a certain code language, COULD is written as BNTKC and MOULDING be written in the same code langu…QIn oblique drawing, the receding lines in cavalier projection are always drawn to QIn homology modeling, sequence alignment is followed by QRewrite the equation using a single trigonometric function.Qabout the primary function of sugar in our diet. Sugar is mainly used to add sweetness to food.

See all Computer Science questions →

Still have questions?

Quick Answer

A logarithm answers the question: "What exponent do I need?" log_b(x) = y means b^y = x Example: log₂(8) = 3 because 2³ = 8 Key properties: • log(ab) = log(a) + log(b) • log(a/b) = log(a) − log(b) • log(aⁿ) = n·log(a) • log_b(1) = 0 (anything to the 0…

Asked on February 19, 2026Computer Science

This computer science problem involves algorithmic thinking and programming concepts. The solution below explains the approach, logic, and implementation step by step.

ScanSolve AI AnswerAnswered on February 19, 2026

A logarithm answers the question: "What exponent do I need?" log_b(x) = y means b^y = x Example: log₂(8) = 3 because 2³ = 8 Key properties: • log(ab) = log(a) + log(b) • log(a/b) = log(a) − log(b) • log(aⁿ) = n·log(a) • log_b(1) = 0 (anything to the 0 is 1) • log_b(b) = 1 Common bases: log₁₀ (common log, written as "log"), logₑ (natural log, written as "ln"), log₂ (used in computer science).