What is the answer to 5^{x+3}-2*5^{x+2}=375 ?

The answer to 5^{x+3}-2*5^{x+2}=375 is x=1

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5^{x+3}-2*5^{x+2}=375

5^{x + 3} - 2 \cdot 5^{x + 2} = 375

x = 1

Solution steps

5^{x + 3} - 2 \cdot 5^{x + 2} = 375

Factor

5^{x + 3} - 2 \cdot 5^{x + 2} : 3 \cdot 5^{x + 2}

3 \cdot 5^{x + 2} = 375

Divide both sides by

3

5^{x + 2} = 125

Apply exponent rules

x + 2 = 3

Solve

x + 2 = 3 : x = 1

x = 1

3^{x} + 3^{-} x = 6

e^{\frac{x}{2}} = 5

6 = 5^{x}

4 e^{4 x} - 4 = 0

What is the answer to 5^{x+3}-2*5^{x+2}=375 ?
The answer to 5^{x+3}-2*5^{x+2}=375 is x=1
Solve for x: 5^{x+3}-2*5^{x+2}=375
The solution is x=1