Basic Math Examples

Solve for n 6 log of n+4=2 log of 8
Step 1
Simplify.
Tap for more steps...
Step 1.1
Simplify by moving inside the logarithm.
Step 1.2
Simplify by moving inside the logarithm.
Step 2
For the equation to be equal, the argument of the logarithms on both sides of the equation must be equal.
Step 3
Solve for .
Tap for more steps...
Step 3.1
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 3.2
Simplify .
Tap for more steps...
Step 3.2.1
Raise to the power of .
Step 3.2.2
Rewrite as .
Step 3.2.3
Pull terms out from under the radical, assuming positive real numbers.
Step 3.3
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps...
Step 3.3.1
First, use the positive value of the to find the first solution.
Step 3.3.2
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 3.3.2.1
Subtract from both sides of the equation.
Step 3.3.2.2
Subtract from .
Step 3.3.3
Next, use the negative value of the to find the second solution.
Step 3.3.4
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 3.3.4.1
Subtract from both sides of the equation.
Step 3.3.4.2
Subtract from .
Step 3.3.5
The complete solution is the result of both the positive and negative portions of the solution.
Step 4
Exclude the solutions that do not make true.