What is the answer to 6*5^{3x}=468750 ?

The answer to 6*5^{3x}=468750 is x= 7/3

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6*5^{3x}=468750

6 \cdot 5^{3 x} = 468750

x = \frac{7}{3}

Solution steps

6 \cdot 5^{3 x} = 468750

Divide both sides by

6

5^{3 x} = 78125

Apply exponent rules

3 x = 7

Solve

3 x = 7 : x = \frac{7}{3}

x = \frac{7}{3}

n = 3^{x}

1 0^{4 x} = 101

5^{x + 2} + 5^{x + 1} = 150

1 0^{x} = 5^{3 x + 2}

2^{x} \cdot \frac{1}{4} = 8^{x - 1}