What is the answer to 5^{|4x-6|}=25^{3x-4} ?

The answer to 5^{|4x-6|}=25^{3x-4} is x= 7/5

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5^{|4x-6|}=25^{3x-4}

5^{∣ 4 x - 6 ∣} = 2 5^{3 x - 4}

x = \frac{7}{5}

Solution steps

5^{∣ 4 x - 6 ∣} = 2 5^{3 x - 4}

Apply exponent rules

∣ 4 x - 6 ∣ = 2 (3 x - 4)

Solve

∣ 4 x - 6 ∣ = 2 (3 x - 4) : x = \frac{7}{5}

x = \frac{7}{5}

x^{3} < 100 x

5 x^{2} + 12 x - 9 < 0

a^{3} + 5 a^{2} + a + 5

x^{2} + 6 x + 5

- x^{2} + 6 x = - 34

What is the answer to 5^{|4x-6|}=25^{3x-4} ?
The answer to 5^{|4x-6|}=25^{3x-4} is x= 7/5
Solve for x: 5^{|4x-6|}=25^{3x-4}
The solution is x= 7/5