What is the answer to 1000=50*3^{x/2} ?

The answer to 1000=50*3^{x/2} is x=(2ln(20))/(ln(3))

Solve for x: 1000=50*3^{x/2}

The solution is x=(2ln(20))/(ln(3))

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1000 = 50 \cdot 3^{\frac{x}{2}}

x = \frac{2 ln ( 20 )}{ln ( 3 )}

Decimal Notation

x = 5.45366 \dots

Solution steps

1000 = 50 \cdot 3^{\frac{x}{2}}

Switch sides

50 \cdot 3^{\frac{x}{2}} = 1000

Divide both sides by

50

3^{\frac{x}{2}} = 20

Apply exponent rules

\frac{x}{2} ln (3) = ln (20)

Solve

\frac{x}{2} ln (3) = ln (20) : x = \frac{2 ln ( 20 )}{ln ( 3 )}

x = \frac{2 ln ( 20 )}{ln ( 3 )}

x, e^{- 0.78 x} = 0.03

5^{x + 5} = 125

0. 1^{x} = 100

e^{4 x} = 15

e^{4 x} = 22

What is the answer to 1000=50*3^{x/2} ?
The answer to 1000=50*3^{x/2} is x=(2ln(20))/(ln(3))
Solve for x: 1000=50*3^{x/2}
The solution is x=(2ln(20))/(ln(3))