What is the answer to 7^{3x}=7^{12sqrt(5)} ?

The answer to 7^{3x}=7^{12sqrt(5)} is x=4sqrt(5)

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7^{3x}=7^{12sqrt(5)}

7^{3 x} = 7^{125}

x = 45

Decimal Notation

x = 8.94427 \dots

Solution steps

7^{3 x} = 7^{125}

Apply exponent rules

3 x = 125

Solve

3 x = 125 : x = 45

x = 45

3^{x - 20} = 27

1 6^{3 x} = 8^{x + 2}

e^{x^{2}} = e^{81}

(5)^{x} = 17

e^{2 x} - e^{x} = 132

What is the answer to 7^{3x}=7^{12sqrt(5)} ?
The answer to 7^{3x}=7^{12sqrt(5)} is x=4sqrt(5)
Solve for x: 7^{3x}=7^{12sqrt(5)}
The solution is x=4sqrt(5)