What is the answer to 3^{x/3}=99 ?

The answer to 3^{x/3}=99 is x=(3ln(99))/(ln(3))

Solve for x: 3^{x/3}=99

The solution is x=(3ln(99))/(ln(3))

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3^{\frac{x}{3}} = 99

x = \frac{3 ln ( 99 )}{ln ( 3 )}

Decimal

x = 12.54797 \dots

Solution steps

3^{\frac{x}{3}} = 99

Apply exponent rules

\frac{x}{3} ln (3) = ln (99)

Solve

\frac{x}{3} ln (3) = ln (99) : x = \frac{3 ln ( 99 )}{ln ( 3 )}

x = \frac{3 ln ( 99 )}{ln ( 3 )}

5^{x} = 44

3^{3 x} = 3

2^{\frac{x}{4}} = 9

- x e^{- x} + 8 e^{- x} = 0

3 \times 9^{x} \times 2 7^{x} = 1

What is the answer to 3^{x/3}=99 ?
The answer to 3^{x/3}=99 is x=(3ln(99))/(ln(3))
Solve for x: 3^{x/3}=99
The solution is x=(3ln(99))/(ln(3))