 # What Is A Log Equation?

## How do you solve for a log?

We use the following step by step procedure:Step 1: bring all the logs on the same side of the equation and everything else on the other side.Step 3: Exponentiate to cancel the log (run the hook).Step 4: Solve for x.Step 5: Check your answer.Step 1: Take logs of both sides using one of the given bases.More items….

## What is an Antilog?

The antilogarithm is the number for which a given logarithm stands. … To find the antilog of a number in a given base, raise the base to the number result. If the logarithm is known, a calculator can be used to find the antilog by pressing the 10x key. This is usually the second function of the log key.

## How do you convert LN to log?

To convert a number from a natural to a common log, use the equation, ln(x) = log(x) ÷ log(2.71828).

## What is a log used for?

Logarithms are a way of showing how big a number is in terms of how many times you have to multiply a certain number (called the base) to get it. If you are using 2 as your base, then a logarithm means “how many times do I have to multiply 2 to get to this number?”.

## What log6 36?

Logarithm base 6 of 36 is 2 .

## What is logarithmic equation with example?

LOGARITHMIC EQUATIONSln x + ln (x – 2) = 0 ln x(x – 2) = 0 e0 = x(x – 2) 1 = x2 – 2x x2 – 2x – 1 =0 REJECT ACCEPTABLE Answer: 2.41Sample ProblemsSample Problem 4log6 x + log6 (x + 1) = 1 log6 x(x + 1) = 1 61 = x(x + 1) x2 + x = 6 x2 + x – 6 = 0 (x + 3)(x – 2) = 0 x = -3 OR x = 2 REJECT ACCEPTABLE Answer: X = 219 more rows

## How do you answer logarithmic equations?

To solve a logarithmic equation, rewrite the equation in exponential form and solve for the variable. Example 1: Solve for x in the equation Ln(x)=8. Check: You can check your answer in two ways. You could graph the function Ln(x)-8 and see where it crosses the x-axis.

## How do you use the log function?

Use the power property of logarithms to simplify the logarithm on the left side of the equation. Remember that log 4 is a number. You can divide both sides of the equation by log 4 to get x by itself. Use a calculator to evaluate the logarithms and the quotient.

## Is ln the same as log?

Douglas K. Usually log(x) means the base 10 logarithm; it can, also be written as log10(x) . … ln(x) means the base e logarithm; it can, also be written as loge(x) . ln(x) tells you what power you must raise e to obtain the number x.

## What are the log rules?

Logarithm rulesRule nameRuleLogarithm product rulelogb(x ∙ y) = logb(x) + logb(y)Logarithm quotient rulelogb(x / y) = logb(x) – logb(y)Logarithm power rulelogb(x y) = y ∙ logb(x)Logarithm base switch rulelogb(c) = 1 / logc(b)9 more rows