Solve for m 5^(2m+1)=3^(5m-2)

Math
Take the log of both sides of the equation.
Expand by moving outside the logarithm.
Expand by moving outside the logarithm.
Solve the equation for .
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Simplify .
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Apply the distributive property.
Multiply by .
Apply the distributive property.
Subtract from both sides of the equation.
Subtract from both sides of the equation.
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
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 .
Simplify .
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Simplify each term.
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Move the negative in front of the fraction.
Move the negative in front of the fraction.
Simplify terms.
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Combine the numerators over the common denominator.
Factor out of .
Factor out of .
Factor out of .
Simplify the expression.
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Rewrite as .
Move the negative in front of the fraction.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Solve for m 5^(2m+1)=3^(5m-2)

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