Finite Math Examples

Solve for x natural log of 7x+5 = natural log of 2x-5
Step 1
For the equation to be equal, the argument of the logarithms on both sides of the equation must be equal.
Step 2
Solve for .
Tap for more steps...
Step 2.1
Move all terms containing to the left side of the equation.
Tap for more steps...
Step 2.1.1
Subtract from both sides of the equation.
Step 2.1.2
Subtract from .
Step 2.2
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 2.2.1
Subtract from both sides of the equation.
Step 2.2.2
Subtract from .
Step 2.3
Divide each term in by and simplify.
Tap for more steps...
Step 2.3.1
Divide each term in by .
Step 2.3.2
Simplify the left side.
Tap for more steps...
Step 2.3.2.1
Cancel the common factor of .
Tap for more steps...
Step 2.3.2.1.1
Cancel the common factor.
Step 2.3.2.1.2
Divide by .
Step 2.3.3
Simplify the right side.
Tap for more steps...
Step 2.3.3.1
Divide by .
Step 3
Exclude the solutions that do not make true.