What is the answer to 3^{2x}=1000 ?

The answer to 3^{2x}=1000 is x=(3ln(10))/(2ln(3))

Solve for x: 3^{2x}=1000

The solution is x=(3ln(10))/(2ln(3))

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3^{2 x} = 1000

x = \frac{3 ln ( 10 )}{2 ln ( 3 )}

Decimal Notation

x = 3.14385 \dots

Solution steps

3^{2 x} = 1000

Apply exponent rules

2 x ln (3) = ln (1000)

Solve

2 x ln (3) = ln (1000) : x = \frac{3 ln ( 10 )}{2 ln ( 3 )}

x = \frac{3 ln ( 10 )}{2 ln ( 3 )}

4 9^{x} - 6 \cdot 7^{x} + 5 = 0

t, e^{t^{2}} = 4

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

\frac{2 ^{3 x - 1}}{2 ^{x + 5}} = 2^{x}

2^{x + 14} = 1 6^{2 x}

What is the answer to 3^{2x}=1000 ?
The answer to 3^{2x}=1000 is x=(3ln(10))/(2ln(3))
Solve for x: 3^{2x}=1000
The solution is x=(3ln(10))/(2ln(3))