What is the answer to 5^{5x-1}=3^{1-2x} ?

The answer to 5^{5x-1}=3^{1-2x} is x=(ln(15))/(5ln(5)+2ln(3))

Solve for x: 5^{5x-1}=3^{1-2x}

The solution is x=(ln(15))/(5ln(5)+2ln(3))

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5^{5 x - 1} = 3^{1 - 2 x}

x = \frac{ln ( 15 )}{5 ln ( 5 ) + 2 ln ( 3 )}

Decimal Notation

x = 0.26434 \dots

Solution steps

5^{5 x - 1} = 3^{1 - 2 x}

Apply exponent rules

(5 x - 1) ln (5) = (1 - 2 x) ln (3)

Solve

(5 x - 1) ln (5) = (1 - 2 x) ln (3) : x = \frac{ln ( 15 )}{5 ln ( 5 ) + 2 ln ( 3 )}

x = \frac{ln ( 15 )}{5 ln ( 5 ) + 2 ln ( 3 )}

n, (x y)^{n} = x^{n} y^{n}

e^{x - 2} + 10 = 3

2^{x} = 2^{5}

(1.6181)^{t} = 4

e^{3 x + 1} = k

What is the answer to 5^{5x-1}=3^{1-2x} ?
The answer to 5^{5x-1}=3^{1-2x} is x=(ln(15))/(5ln(5)+2ln(3))
Solve for x: 5^{5x-1}=3^{1-2x}
The solution is x=(ln(15))/(5ln(5)+2ln(3))