Trigonometry Examples

Solve for x natural log of square root of x+4=1
Step 1
To solve for , rewrite the equation using properties of logarithms.
Step 2
Rewrite in exponential form using the definition of a logarithm. If and are positive real numbers and , then is equivalent to .
Step 3
Solve for .
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Step 3.1
Rewrite the equation as .
Step 3.2
To remove the radical on the left side of the equation, square both sides of the equation.
Step 3.3
Simplify each side of the equation.
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Step 3.3.1
Use to rewrite as .
Step 3.3.2
Simplify the left side.
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Step 3.3.2.1
Simplify .
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Step 3.3.2.1.1
Multiply the exponents in .
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Step 3.3.2.1.1.1
Apply the power rule and multiply exponents, .
Step 3.3.2.1.1.2
Cancel the common factor of .
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Step 3.3.2.1.1.2.1
Cancel the common factor.
Step 3.3.2.1.1.2.2
Rewrite the expression.
Step 3.3.2.1.2
Simplify.
Step 3.3.3
Simplify the right side.
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Step 3.3.3.1
Multiply the exponents in .
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Step 3.3.3.1.1
Apply the power rule and multiply exponents, .
Step 3.3.3.1.2
Multiply by .
Step 3.4
Subtract from both sides of the equation.
Step 4
The result can be shown in multiple forms.
Exact Form:
Decimal Form: