What is the answer to 6^x=0.25^{2x-1} ?

The answer to 6^x=0.25^{2x-1} is x=-(ln(0.25))/(ln(6)-2ln(0.25))

Solve for x: 6^x=0.25^{2x-1}

The solution is x=-(ln(0.25))/(ln(6)-2ln(0.25))

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6^{x} = 0.2 5^{2 x - 1}

x = - \frac{ln ( 0.25 )}{ln ( 6 ) - 2 ln ( 0.25 )}

Solution steps

6^{x} = 0.2 5^{2 x - 1}

Apply exponent rules

x ln (6) = (2 x - 1) ln (0.25)

Solve

x ln (6) = (2 x - 1) ln (0.25) : x = - \frac{ln ( 0.25 )}{ln ( 6 ) - 2 ln ( 0.25 )}

x = - \frac{ln ( 0.25 )}{ln ( 6 ) - 2 ln ( 0.25 )}

4 (2.5)^{2 x} = 4

\frac{400}{1 + e ^{- x}} = 350

q, p = 7^{4 - q}

x, y^{2} = 2^{x}

(0.25)^{(x - 3)} = 2^{(x + 8)}

What is the answer to 6^x=0.25^{2x-1} ?
The answer to 6^x=0.25^{2x-1} is x=-(ln(0.25))/(ln(6)-2ln(0.25))
Solve for x: 6^x=0.25^{2x-1}
The solution is x=-(ln(0.25))/(ln(6)-2ln(0.25))