What is the answer to 3^x=343 ?

The answer to 3^x=343 is x=(3ln(7))/(ln(3))

The solution is x=(3ln(7))/(ln(3))

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3^x=343

3^{x} = 343

x = \frac{3 ln ( 7 )}{ln ( 3 )}

Decimal Notation

x = 5.31373 \dots

Solution steps

3^{x} = 343

Apply exponent rules

x ln (3) = ln (343)

Solve

x ln (3) = ln (343) : x = \frac{3 ln ( 7 )}{ln ( 3 )}

x = \frac{3 ln ( 7 )}{ln ( 3 )}

e^{x + 6} = \frac{1}{e}

2^{5 x} = 1 6^{x + 1}

\frac{1}{h ( x )} = 9^{k x}

x, e^{2 x} - 5 e^{x} + 6 = 0

(1 + \frac{0.1}{12})^{12 t} = 2