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

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

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

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

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3 \cdot 5^{0.2 w} = 720

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

Decimal Notation

w = 17.02656 \dots

Solution steps

3 \cdot 5^{0.2 w} = 720

Divide both sides by

3

5^{0.2 w} = 240

Apply exponent rules

0.2 w ln (5) = ln (240)

Solve

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

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

3^{2 x} - 10 (3^{x}) = - 9

8^{- x + 14} = 1 6^{x}

3 (4^{x}) + 6 (2^{x}) = 24

2^{2 x + 1} = 8

e^{2} = e^{x}

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