What is the answer to 5*2^{3x}=15000 ?

The answer to 5*2^{3x}=15000 is x=(ln(3000))/(3ln(2))

Solve for x: 5*2^{3x}=15000

The solution is x=(ln(3000))/(3ln(2))

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5 \cdot 2^{3 x} = 15000

x = \frac{ln ( 3000 )}{3 ln ( 2 )}

Decimal Notation

x = 3.85024 \dots

Solution steps

5 \cdot 2^{3 x} = 15000

Divide both sides by

5

2^{3 x} = 3000

Apply exponent rules

3 x ln (2) = ln (3000)

Solve

3 x ln (2) = ln (3000) : x = \frac{ln ( 3000 )}{3 ln ( 2 )}

x = \frac{ln ( 3000 )}{3 ln ( 2 )}

3^{8} = 9^{x}

9^{2 x - 1} = 3^{- x + 8}

4^{2 x - 1} = 3^{x + 2}

e^{x} - 7 = 2 e^{- x}

e^{x - 1} = 1

What is the answer to 5*2^{3x}=15000 ?
The answer to 5*2^{3x}=15000 is x=(ln(3000))/(3ln(2))
Solve for x: 5*2^{3x}=15000
The solution is x=(ln(3000))/(3ln(2))