What is the answer to 3*5^{x+3}-5^{x+1}=74 ?

The answer to 3*5^{x+3}-5^{x+1}=74 is x=-1

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3*5^{x+3}-5^{x+1}=74

3 \cdot 5^{x + 3} - 5^{x + 1} = 74

x = - 1

Solution steps

3 \cdot 5^{x + 3} - 5^{x + 1} = 74

Factor

3 \cdot 5^{x + 3} - 5^{x + 1} : 74 \cdot 5^{x + 1}

74 \cdot 5^{x + 1} = 74

Divide both sides by

74

5^{x + 1} = 1

Apply exponent rules

(x + 1) ln (5) = ln (1)

Solve

(x + 1) ln (5) = ln (1) : x = - 1

x = - 1

2^{x} = 2500

(x - 1)^{x^{2} - 2} = (x - 1)^{2 x + 1}

6 4^{a} = 8^{a + 2}

2^{2 x} = 4^{x + 1}

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

What is the answer to 3*5^{x+3}-5^{x+1}=74 ?
The answer to 3*5^{x+3}-5^{x+1}=74 is x=-1
Solve for x: 3*5^{x+3}-5^{x+1}=74
The solution is x=-1