What is the answer to 7^{0.3x}=813 ?

The answer to 7^{0.3x}=813 is x=(ln(813))/(0.3ln(7))

Solve for x: 7^{0.3x}=813

The solution is x=(ln(813))/(0.3ln(7))

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7^{0.3 x} = 813

x = \frac{ln ( 813 )}{0.3 ln ( 7 )}

Decimal Notation

x = 11.47831 \dots

Solution steps

7^{0.3 x} = 813

Apply exponent rules

0.3 x ln (7) = ln (813)

Solve

0.3 x ln (7) = ln (813) : x = \frac{ln ( 813 )}{0.3 ln ( 7 )}

x = \frac{ln ( 813 )}{0.3 ln ( 7 )}

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

(\frac{1}{8})^{x - 3} = 1 6^{4 x - 3}

2^{k - 2} \cdot 5^{k - 2} = 100

5^{x + 5} = 7

5 \cdot 2^{x} = 1 0^{x}

What is the answer to 7^{0.3x}=813 ?
The answer to 7^{0.3x}=813 is x=(ln(813))/(0.3ln(7))
Solve for x: 7^{0.3x}=813
The solution is x=(ln(813))/(0.3ln(7))