Take the log of both sides of the inequality.

Expand by moving outside the logarithm.

Expand by moving outside the logarithm.

Apply the distributive property.

Simplify .

Apply the distributive property.

Multiply by .

Subtract from both sides of the inequality.

Subtract from both sides of the inequality.

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Divide each term by and simplify.

Convert the inequality to an equation.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify .

Move the negative in front of the fraction.

Combine the numerators over the common denominator.

The solution consists of all of the true intervals.

The result can be shown in multiple forms.

Inequality Form:

Interval Notation:

Solve for x 62^(x+3)<=7^(2x+1)