What is the answer to 2/5 =(25/4)^x ?

The answer to 2/5 =(25/4)^x is x=(ln(2/5))/(ln(25/4))

Solve for x: 2/5 =(25/4)^x

The solution is x=(ln(2/5))/(ln(25/4))

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\frac{2}{5} = (\frac{25}{4})^{x}

x = \frac{ln ( \frac{2}{5} )}{ln ( \frac{25}{4} )}

Decimal Notation

x = - 0.5

Solution steps

\frac{2}{5} = (\frac{25}{4})^{x}

Apply exponent rules

ln (\frac{2}{5}) = x ln (\frac{25}{4})

Solve

ln (\frac{2}{5}) = x ln (\frac{25}{4}) : x = \frac{ln ( \frac{2}{5} )}{ln ( \frac{25}{4} )}

x = \frac{ln ( \frac{2}{5} )}{ln ( \frac{25}{4} )}

m, 144 = \frac{2 ^{m}}{3 ^{n}}

l, y^{m} - 6 y^{n} + 11 y^{l} - 6 y = 0

2 = (1.06)^{n}

2 7^{x} = 9

8^{3 x} = 6 4^{x + 1}

What is the answer to 2/5 =(25/4)^x ?
The answer to 2/5 =(25/4)^x is x=(ln(2/5))/(ln(25/4))
Solve for x: 2/5 =(25/4)^x
The solution is x=(ln(2/5))/(ln(25/4))