What is the answer to (3/4)^x= 16/9 ?

The answer to (3/4)^x= 16/9 is x=(ln(16/9))/(ln(3/4))

Solve for x: (3/4)^x= 16/9

The solution is x=(ln(16/9))/(ln(3/4))

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(\frac{3}{4})^{x} = \frac{16}{9}

x = \frac{ln ( \frac{16}{9} )}{ln ( \frac{3}{4} )}

Decimal Notation

x = - 2

Solution steps

(\frac{3}{4})^{x} = \frac{16}{9}

Apply exponent rules

x ln (\frac{3}{4}) = ln (\frac{16}{9})

Solve

x ln (\frac{3}{4}) = ln (\frac{16}{9}) : x = \frac{ln ( \frac{16}{9} )}{ln ( \frac{3}{4} )}

x = \frac{ln ( \frac{16}{9} )}{ln ( \frac{3}{4} )}

2^{x} + 2^{x + 3} = 48

e^{x} + 45 e^{- x} = 14

4 (\frac{1}{3})^{x} = 324

9^{3 x + 1} = 3

1 6^{x - 5} = 128

What is the answer to (3/4)^x= 16/9 ?
The answer to (3/4)^x= 16/9 is x=(ln(16/9))/(ln(3/4))
Solve for x: (3/4)^x= 16/9
The solution is x=(ln(16/9))/(ln(3/4))