A logarithmic equation is an equation that involves the logarithm of an expression containing a variable. To solve exponential equations, first see whether you can write both sides of the equation as powers of the same number.

How do you evaluate logarithms?

To evaluate a logarithmic function, determine what exponent the base must be taken to in order to yield the number x. Sometimes the exponent will not be a whole number. If this is the case, consult a logarithm table or use a calculator. Examples: y = log39. Then y = 2. y = log5. Then y = – 4. y = log.

How do I solve log x?

Solve for X Using the Logarithmic Quotient Rule Know the quotient rule. Isolate the logarithm to one side of the equation. Apply the quotient rule. Rewrite the equation in exponential form. Solve for x. Write your final answer.

How do you calculate log base?

Anti-logarithm calculator. In order to calculate log -1(y) on the calculator, enter the base b (10 is the default value, enter e for e constant), enter the logarithm value y and press the = or calculate button: When. y = log b x. The anti logarithm (or inverse logarithm) is calculated by raising the base b to the logarithm y:

What are the properties of logs?

Logs have four basic properties: Product Rule: The log of a product is equal to the sum of the log of the first base and the log of the second base (). Quotient Rule : The log of a quotient is equal to the difference of the logs of the numerator and denominator (). Power Rule : The log of a power is equal to the power times the log of the base ().