Finite Math Examples

Solve for x e^(8-5x)=1704
Step 1
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
Step 2
Expand the left side.
Tap for more steps...
Step 2.1
Expand by moving outside the logarithm.
Step 2.2
The natural logarithm of is .
Step 2.3
Multiply by .
Step 3
Subtract from both sides of the equation.
Step 4
Divide each term in by and simplify.
Tap for more steps...
Step 4.1
Divide each term in by .
Step 4.2
Simplify the left side.
Tap for more steps...
Step 4.2.1
Cancel the common factor of .
Tap for more steps...
Step 4.2.1.1
Cancel the common factor.
Step 4.2.1.2
Divide by .
Step 4.3
Simplify the right side.
Tap for more steps...
Step 4.3.1
Simplify each term.
Tap for more steps...
Step 4.3.1.1
Move the negative in front of the fraction.
Step 4.3.1.2
Dividing two negative values results in a positive value.
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form: