What is the answer to (2/3)^x= 27/8 ?

The answer to (2/3)^x= 27/8 is x=(ln(27/8))/(ln(2/3))

Solve for x: (2/3)^x= 27/8

The solution is x=(ln(27/8))/(ln(2/3))

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(\frac{2}{3})^{x} = \frac{27}{8}

x = \frac{ln ( \frac{27}{8} )}{ln ( \frac{2}{3} )}

Decimal Notation

x = - 3

Solution steps

(\frac{2}{3})^{x} = \frac{27}{8}

Apply exponent rules

x ln (\frac{2}{3}) = ln (\frac{27}{8})

Solve

x ln (\frac{2}{3}) = ln (\frac{27}{8}) : x = \frac{ln ( \frac{27}{8} )}{ln ( \frac{2}{3} )}

x = \frac{ln ( \frac{27}{8} )}{ln ( \frac{2}{3} )}

1 0^{- x} = 4

5^{2 x - 3} = 1

2^{x} = 1 0^{13}

1 0^{3 x} = \frac{1}{10000}

9 = 3^{x}

What is the answer to (2/3)^x= 27/8 ?
The answer to (2/3)^x= 27/8 is x=(ln(27/8))/(ln(2/3))
Solve for x: (2/3)^x= 27/8
The solution is x=(ln(27/8))/(ln(2/3))