What is the answer to 500*3^{0.0625x}=1000 ?

The answer to 500*3^{0.0625x}=1000 is x=(ln(2))/(0.0625ln(3))

Solve for x: 500*3^{0.0625x}=1000

The solution is x=(ln(2))/(0.0625ln(3))

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500 \cdot 3^{0.0625 x} = 1000

x = \frac{ln ( 2 )}{0.0625 ln ( 3 )}

Decimal Notation

x = 10.09487 \dots

Solution steps

500 \cdot 3^{0.0625 x} = 1000

Divide both sides by

500

3^{0.0625 x} = 2

Apply exponent rules

0.0625 x ln (3) = ln (2)

Solve

0.0625 x ln (3) = ln (2) : x = \frac{ln ( 2 )}{0.0625 ln ( 3 )}

x = \frac{ln ( 2 )}{0.0625 ln ( 3 )}

2^{x} = \frac{1}{2 ^{4}}

3^{3 x + 4} = 6^{x - 5}

4 e^{2 x} + x - 4 = 0

3^{x - 1} = \frac{1}{3}

- x e^{- x} + 9 e^{- x} = 0

What is the answer to 500*3^{0.0625x}=1000 ?
The answer to 500*3^{0.0625x}=1000 is x=(ln(2))/(0.0625ln(3))
Solve for x: 500*3^{0.0625x}=1000
The solution is x=(ln(2))/(0.0625ln(3))