What is the answer to 4^x=9(5^x) ?

The answer to 4^x=9(5^x) is x=(2ln(3))/(2ln(2)-ln(5))

Solve for x: 4^x=9(5^x)

The solution is x=(2ln(3))/(2ln(2)-ln(5))

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4^{x} = 9 (5^{x})

x = \frac{2 ln ( 3 )}{2 ln ( 2 ) - ln ( 5 )}

Decimal Notation

x = - 9.84668 \dots

Solution steps

4^{x} = 9 (5^{x})

Apply exponent rules

x ln (4) = ln (9) + x ln (5)

Solve

x ln (4) = ln (9) + x ln (5) : x = \frac{2 ln ( 3 )}{2 ln ( 2 ) - ln ( 5 )}

x = \frac{2 ln ( 3 )}{2 ln ( 2 ) - ln ( 5 )}

x, y = (x + F) e^{- x}

3.4 e^{2 - 2 n} - 9 = - 4

8 1^{5 x - 2} = 1

27 \cdot 27 = 9^{x}

10 \cdot 1 0^{\frac{x}{3}} = 1

What is the answer to 4^x=9(5^x) ?
The answer to 4^x=9(5^x) is x=(2ln(3))/(2ln(2)-ln(5))
Solve for x: 4^x=9(5^x)
The solution is x=(2ln(3))/(2ln(2)-ln(5))