What is the answer to 71/3 =3^x ?

The answer to 71/3 =3^x is x=(ln(71/3))/(ln(3))

Solve for x: 71/3 =3^x

The solution is x=(ln(71/3))/(ln(3))

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\frac{71}{3} = 3^{x}

x = \frac{ln ( \frac{71}{3} )}{ln ( 3 )}

Decimal Notation

x = 2.88005 \dots

Solution steps

\frac{71}{3} = 3^{x}

Apply exponent rules

ln (\frac{71}{3}) = x ln (3)

Solve

ln (\frac{71}{3}) = x ln (3) : x = \frac{ln ( \frac{71}{3} )}{ln ( 3 )}

x = \frac{ln ( \frac{71}{3} )}{ln ( 3 )}

x, 15 - 0. 5^{x} = - 6

5^{x} = - 5

5^{x} = - 7

3^{2 x - 5} = 1

3^{2 x - 5} = 9

What is the answer to 71/3 =3^x ?
The answer to 71/3 =3^x is x=(ln(71/3))/(ln(3))
Solve for x: 71/3 =3^x
The solution is x=(ln(71/3))/(ln(3))