What is the answer to 8^x=3.5 ?

The answer to 8^x=3.5 is x=(ln(3.5))/(3ln(2))

The solution is x=(ln(3.5))/(3ln(2))

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8^x=3.5

8^{x} = 3.5

x = \frac{ln ( 3.5 )}{3 ln ( 2 )}

Decimal Notation

x = 0.60245 \dots

Solution steps

8^{x} = 3.5

Apply exponent rules

x ln (8) = ln (3.5)

Solve

x ln (8) = ln (3.5) : x = \frac{ln ( 3.5 )}{3 ln ( 2 )}

x = \frac{ln ( 3.5 )}{3 ln ( 2 )}

((- 3.2)^{5})^{x} = (- 3.2)^{- 20}

e^{2 x} + 2 e^{x} + 1 = 0

432 = 3^{x + 1} \cdot 2^{2 x}

x, 3^{2 x - 3} = 21

1 5^{3 x - 2} = 1 3^{3 x - 2}