What is the answer to 3*5^{0.2x}=720 ?

The answer to 3*5^{0.2x}=720 is x=(ln(240))/(0.2ln(5))

Solve for x: 3*5^{0.2x}=720

The solution is x=(ln(240))/(0.2ln(5))

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3 \cdot 5^{0.2 x} = 720

x = \frac{ln ( 240 )}{0.2 ln ( 5 )}

Decimal Notation

x = 17.02656 \dots

Solution steps

3 \cdot 5^{0.2 x} = 720

Divide both sides by

3

5^{0.2 x} = 240

Apply exponent rules

0.2 x ln (5) = ln (240)

Solve

0.2 x ln (5) = ln (240) : x = \frac{ln ( 240 )}{0.2 ln ( 5 )}

x = \frac{ln ( 240 )}{0.2 ln ( 5 )}

3^{2 x} = 7^{2 x - 1}

1.007 5^{x} = 1.251445278

x, 6 4^{x} = 1 6^{y}

5 \cdot e^{x} = 18

7.01 = 3^{2 x} - 2.4

What is the answer to 3*5^{0.2x}=720 ?
The answer to 3*5^{0.2x}=720 is x=(ln(240))/(0.2ln(5))
Solve for x: 3*5^{0.2x}=720
The solution is x=(ln(240))/(0.2ln(5))