What is the answer to 2000=8^x ?

The answer to 2000=8^x is x=(ln(2000))/(3ln(2))

Solve for x: 2000=8^x

The solution is x=(ln(2000))/(3ln(2))

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2000 = 8^{x}

x = \frac{ln ( 2000 )}{3 ln ( 2 )}

Decimal Notation

x = 3.65526 \dots

Solution steps

2000 = 8^{x}

Apply exponent rules

ln (2000) = x ln (8)

Solve

ln (2000) = x ln (8) : x = \frac{ln ( 2000 )}{3 ln ( 2 )}

x = \frac{ln ( 2000 )}{3 ln ( 2 )}

(- 35)^{x} = 1

0.5 = e^{- \frac{x}{0.2}}

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

2^{- x} = 4 \cdot 8^{- x}

e^{7 x - 1} = 5

What is the answer to 2000=8^x ?
The answer to 2000=8^x is x=(ln(2000))/(3ln(2))
Solve for x: 2000=8^x
The solution is x=(ln(2000))/(3ln(2))