What is the answer to 6^{5x}=3000 ?

The answer to 6^{5x}=3000 is x=(ln(3000))/(5ln(6))

Solve for x: 6^{5x}=3000

The solution is x=(ln(3000))/(5ln(6))

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6^{5 x} = 3000

x = \frac{ln ( 3000 )}{5 ln ( 6 )}

Decimal Notation

x = 0.89368 \dots

Solution steps

6^{5 x} = 3000

Apply exponent rules

5 x ln (6) = ln (3000)

Solve

5 x ln (6) = ln (3000) : x = \frac{ln ( 3000 )}{5 ln ( 6 )}

x = \frac{ln ( 3000 )}{5 ln ( 6 )}

e^{6 x} - 9 e^{3 x} - 18 = 0

6^{- 2 x} \cdot 6^{- x} = \frac{1}{216}

3^{2} 9^{2} = 3^{x}

(25)^{2 x - 1} = 5^{x + 4}

3^{x} - 3^{x + 3} = - 78

What is the answer to 6^{5x}=3000 ?
The answer to 6^{5x}=3000 is x=(ln(3000))/(5ln(6))
Solve for x: 6^{5x}=3000
The solution is x=(ln(3000))/(5ln(6))