What is the answer to (2/3)^x= 9/4 ?

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

Solve for x: (2/3)^x= 9/4

The solution is x=(ln(9/4))/(ln(2/3))

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(\frac{2}{3})^{x} = \frac{9}{4}

x = \frac{ln ( \frac{9}{4} )}{ln ( \frac{2}{3} )}

Decimal Notation

x = - 2

Solution steps

(\frac{2}{3})^{x} = \frac{9}{4}

Apply exponent rules

x ln (\frac{2}{3}) = ln (\frac{9}{4})

Solve

x ln (\frac{2}{3}) = ln (\frac{9}{4}) : x = \frac{ln ( \frac{9}{4} )}{ln ( \frac{2}{3} )}

x = \frac{ln ( \frac{9}{4} )}{ln ( \frac{2}{3} )}

3^{x} + 3^{- x} = \frac{10}{3}

3^{x} = 1

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

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

7^{x^{2} - 13 x + 45} = 16807

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