What is the answer to 12^{2/3 x}=23 ?

The answer to 12^{2/3 x}=23 is x=(3ln(23))/(2ln(12))

Solve for x: 12^{2/3 x}=23

The solution is x=(3ln(23))/(2ln(12))

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1 2^{\frac{2}{3} x} = 23

x = \frac{3 ln ( 23 )}{2 ln ( 12 )}

Decimal Notation

x = 1.89272 \dots

Solution steps

1 2^{\frac{2}{3} x} = 23

Apply exponent rules

\frac{2}{3} x ln (12) = ln (23)

Solve

\frac{2}{3} x ln (12) = ln (23) : x = \frac{3 ln ( 23 )}{2 ln ( 12 )}

x = \frac{3 ln ( 23 )}{2 ln ( 12 )}

3 3^{x + 4} = 9^{x + 1}

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

446 = 1. 3^{x - 1}

2^{8} = 8^{x}

(3^{x + 1})^{2} = 8 1^{2 x - 4}

What is the answer to 12^{2/3 x}=23 ?
The answer to 12^{2/3 x}=23 is x=(3ln(23))/(2ln(12))
Solve for x: 12^{2/3 x}=23
The solution is x=(3ln(23))/(2ln(12))