Solve for x 100(1.05)^x=200(1.09)^(3x)

Math
Take the log of both sides of the equation.
Rewrite as .
Expand by moving outside the logarithm.
Rewrite as .
Expand by moving outside the logarithm.
Solve the equation for .
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Simplify each term.
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Simplify by moving inside the logarithm.
Raise to the power of .
Move all the terms containing a logarithm to the left side of the equation.
Use the quotient property of logarithms, .
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Subtract from both sides of the equation.
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Move the negative in front of the fraction.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Solve for x 100(1.05)^x=200(1.09)^(3x)

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