Finite Math Examples

Solve for x 2 log of x- log of 7 = log of 63
Step 1
Move all the terms containing a logarithm to the left side of the equation.
Step 2
Simplify the left side.
Tap for more steps...
Step 2.1
Simplify .
Tap for more steps...
Step 2.1.1
Simplify by moving inside the logarithm.
Step 2.1.2
Use the quotient property of logarithms, .
Step 2.1.3
Use the quotient property of logarithms, .
Step 2.1.4
Multiply the numerator by the reciprocal of the denominator.
Step 2.1.5
Combine.
Step 2.1.6
Multiply.
Tap for more steps...
Step 2.1.6.1
Multiply by .
Step 2.1.6.2
Multiply by .
Step 3
Rewrite in exponential form using the definition of a logarithm. If and are positive real numbers and , then is equivalent to .
Step 4
Solve for .
Tap for more steps...
Step 4.1
Rewrite the equation as .
Step 4.2
Multiply both sides of the equation by .
Step 4.3
Simplify both sides of the equation.
Tap for more steps...
Step 4.3.1
Simplify the left side.
Tap for more steps...
Step 4.3.1.1
Cancel the common factor of .
Tap for more steps...
Step 4.3.1.1.1
Cancel the common factor.
Step 4.3.1.1.2
Rewrite the expression.
Step 4.3.2
Simplify the right side.
Tap for more steps...
Step 4.3.2.1
Move the decimal point in to the left by places and increase the power of by .
Step 4.4
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 4.5
Simplify .
Tap for more steps...
Step 4.5.1
Rewrite as .
Step 4.5.2
Evaluate the root.
Step 4.5.3
Pull terms out from under the radical, assuming positive real numbers.
Step 4.5.4
Raise to the power of .
Step 4.6
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps...
Step 4.6.1
First, use the positive value of the to find the first solution.
Step 4.6.2
Next, use the negative value of the to find the second solution.
Step 4.6.3
The complete solution is the result of both the positive and negative portions of the solution.
Step 5
Exclude the solutions that do not make true.
Step 6
The result can be shown in multiple forms.
Scientific Notation:
Expanded Form: