What is the answer to (2/3)^x*(9/8)^x=2764 ?

The answer to (2/3)^x*(9/8)^x=2764 is x=(ln(2764))/(ln(3/4))

Solve for x: (2/3)^x*(9/8)^x=2764

The solution is x=(ln(2764))/(ln(3/4))

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(\frac{2}{3})^{x} \cdot (\frac{9}{8})^{x} = 2764

x = \frac{ln ( 2764 )}{ln ( \frac{3}{4} )}

Decimal Notation

x = - 27.54580 \dots

Solution steps

(\frac{2}{3})^{x} (\frac{9}{8})^{x} = 2764

Apply exponent rules

x ln (\frac{3}{4}) = ln (2764)

Solve

x ln (\frac{3}{4}) = ln (2764) : x = \frac{ln ( 2764 )}{ln ( \frac{3}{4} )}

x = \frac{ln ( 2764 )}{ln ( \frac{3}{4} )}

2 5^{x} = 0.2

(2 x^{2} - 1)^{5 x + 2} = (2 x^{2} - 1)^{x^{2} + 6}

9^{x + 2} = 2 7^{x}

x, (19) \cdot y = (c_{1} + c_{2} \cdot x) \cdot e^{x}

(5 + 24)^{x} + (5 - 24)^{x} = 10

What is the answer to (2/3)^x*(9/8)^x=2764 ?
The answer to (2/3)^x*(9/8)^x=2764 is x=(ln(2764))/(ln(3/4))
Solve for x: (2/3)^x*(9/8)^x=2764
The solution is x=(ln(2764))/(ln(3/4))