Solve 9^(5x 9) = 9^(x^2)

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Example problems

Type your math problem... 9^(5x 9) = 9^(x^2)

Question

Solve the equation

x_{1} = 0, x_{2} = 45

Evaluate

9^{5 x \times 9} = 9^{(x^{2})}

Since the bases are the same,set the exponents equal

5 x \times 9 = x^{2}

Multiply the terms

45 x = x^{2}

Move the expression to the left side

45 x - x^{2} = 0

Factor the expression

More Steps

Evaluate

45 x - x^{2}

Rewrite the expression

x \times 45 - x \times x

Factor out x from the expression

x (45 - x)

x (45 - x) = 0

When the product of factors equals 0,at least one factor is 0

x = 0 45 - x = 0

Solve the equation for x

More Steps

Evaluate

45 - x = 0

Move the constant to the right-hand side and change its sign

- x = 0 - 45

Removing 0 doesn't change the value,so remove it from the expression

- x = - 45

Change the signs on both sides of the equation

x = 45

x = 0 x = 45

Solution

x_{1} = 0, x_{2} = 45

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