Trigonometry Examples

Solve for @VAR natural log of 5e^t=5t
Step 1
Simplify .
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Step 1.1
Rewrite as .
Step 1.2
Use logarithm rules to move out of the exponent.
Step 1.3
The natural logarithm of is .
Step 1.4
Multiply by .
Step 2
Move all terms containing to the left side of the equation.
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Step 2.1
Subtract from both sides of the equation.
Step 2.2
Subtract from .
Step 3
Subtract from both sides of the equation.
Step 4
Divide each term in by and simplify.
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Step 4.1
Divide each term in by .
Step 4.2
Simplify the left side.
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Step 4.2.1
Cancel the common factor of .
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Step 4.2.1.1
Cancel the common factor.
Step 4.2.1.2
Divide by .
Step 4.3
Simplify the right side.
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Step 4.3.1
Dividing two negative values results in a positive value.
Step 4.3.2
Rewrite as .
Step 4.3.3
Simplify by moving inside the logarithm.
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form: