Log x Calculator
Step by step worksheet, BASE LOGARITHMS

Solves logarithms in this form... \[\lg x=2, \log_{10}50 \]

log x

log x Calculator

Log x calculator allows you to evaluate logarithms to any base and provides a step-by-step solution.

To resolve log x of any base, use the sample expressions below

1. Solve log_3( 1/91 )

Step 1

Enter" log" follow by underscore and number "3", and open bracket

step 2

Enter 1/91, and close the bracket

result

Hit the check mark to solve for log x of any base

Sample Expression Log x Calculator Solves

  • lg x = 2

  • log_4(1/44)

  • log_{3}27 in this case use bracelet { } to enclose the base not a bracket ( )

  • log_{5}x=2

  • 2^x=32

Application of Log x Calculator

  • The logarithm of a number x, denoted as log(x), is the exponent to which a given base (typically 10 or e) must be raised to obtain that number. In other words, if log(x) = y, then y is the exponent to which the base must be raised to get x.

  • For example, if log(100) = 2, this means that 10 raised to the power of 2 equals 100. Similarly, if log(e^3) = 3, this means that e (the base of natural logarithms) raised to the power of 3 is e^3.

  • Logarithms are often used to solve exponential equations, simplify calculations, and convert exponential growth/decay problems into linear form. They have many applications in various fields of mathematics, including algebra, calculus, statistics, and engineering math.

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