What is the answer to (3^x*3^5)^2=3^{14} ?

The answer to (3^x*3^5)^2=3^{14} is x=2

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(3^x*3^5)^2=3^{14}

(3^{x} \cdot 3^{5})^{2} = 3^{14}

x = 2

Solution steps

(3^{x} \cdot 3^{5})^{2} = 3^{14}

Apply exponent rules

(x + 5) \cdot 2 = 14

Solve

(x + 5) \cdot 2 = 14 : x = 2

x = 2

7 \cdot 2^{x} = 28

e^{(- 2 x)} - 2 e^{- x} = - 0.5

e^{5 x} = 7800

x, e^{x + y} = 0

x, e^{x + y} = 1

What is the answer to (3^x*3^5)^2=3^{14} ?
The answer to (3^x*3^5)^2=3^{14} is x=2
Solve for x: (3^x*3^5)^2=3^{14}
The solution is x=2