# Solve for x natural log of two minus five x> two

Convert the inequality to an equality.

To Calculate , Should be rewritten the equation using properties of logarithms.

Calculate

Exponentiation and log are inverse functions.

Subtract from both sides of the equation.

First, divide each term by and simplify.

Divide each term in by .

The common factor should be canceled of .

Cancel the common factor.

Divide by .

Clarify each term.

Put the negative in front of the fraction.

Dividing two negative values results in a positive value.

Set the argument in greater than to find where the expression is defined.

Calculate .

Subtract from both sides of the inequality.

Divide each term by and simplify.

Divide each term in by . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

The common factor should be canceled.

Cancel the common factor.

Divide by .

Dividing two negative values results in a positive value.

The domain is all values of that make the expression defined.

Interval Notation:

Interval Notation:

The solution consists of all of the true intervals.

The result can be displayed in a variety of ways.

Inequality Form:

Interval Notation:

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