What is the answer to 5^x+(3)*(5^{x-2})=140 ?

The answer to 5^x+(3)*(5^{x-2})=140 is x=3

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5^x+(3)*(5^{x-2})=140

5^{x} + (3) \cdot (5^{x - 2}) = 140

x = 3

Solution steps

5^{x} + (3) (5^{x - 2}) = 140

Factor

5^{x} + 3 \cdot 5^{x - 2} : 28 \cdot 5^{x - 2}

28 \cdot 5^{x - 2} = 140

Divide both sides by

28

5^{x - 2} = 5

Apply exponent rules

x - 2 = 1

Solve

x - 2 = 1 : x = 3

x = 3

72 9^{2 x} = 27

2 \cdot 3^{\frac{1}{2 \cdot x + 2}} = 23.43

5^{2 x} = 62 5^{\frac{3}{4}}

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

2^{x} = 0.125

What is the answer to 5^x+(3)*(5^{x-2})=140 ?
The answer to 5^x+(3)*(5^{x-2})=140 is x=3
Solve for x: 5^x+(3)*(5^{x-2})=140
The solution is x=3