Finite Math Examples

Solve for k (d( natural log of k))/(dt) = natural log of A-a/(R*t)
Step 1
Simplify the expressions in the equation.
Tap for more steps...
Step 1.1
Simplify the left side.
Tap for more steps...
Step 1.1.1
Cancel the common factor of .
Tap for more steps...
Step 1.1.1.1
Cancel the common factor.
Step 1.1.1.2
Rewrite the expression.
Step 1.2
Simplify the right side.
Tap for more steps...
Step 1.2.1
Multiply by .
Step 2
Multiply each term in by to eliminate the fractions.
Tap for more steps...
Step 2.1
Multiply each term in by .
Step 2.2
Simplify the left side.
Tap for more steps...
Step 2.2.1
Cancel the common factor of .
Tap for more steps...
Step 2.2.1.1
Factor out of .
Step 2.2.1.2
Cancel the common factor.
Step 2.2.1.3
Rewrite the expression.
Step 2.3
Simplify the right side.
Tap for more steps...
Step 2.3.1
Cancel the common factor of .
Tap for more steps...
Step 2.3.1.1
Move the leading negative in into the numerator.
Step 2.3.1.2
Factor out of .
Step 2.3.1.3
Cancel the common factor.
Step 2.3.1.4
Rewrite the expression.
Step 3
Move all the terms containing a logarithm to the left side of the equation.
Step 4
Reorder factors in .
Step 5
Add to both sides of the equation.
Step 6
Move all the terms containing a logarithm to the left side of the equation.