What is the answer to 7^{2y}=3^4 ?

The answer to 7^{2y}=3^4 is y=(2ln(3))/(ln(7))

Solve for y: 7^{2y}=3^4

The solution is y=(2ln(3))/(ln(7))

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7^{2 y} = 3^{4}

y = \frac{2 ln ( 3 )}{ln ( 7 )}

Decimal Notation

y = 1.12915 \dots

Solution steps

7^{2 y} = 3^{4}

Apply exponent rules

2 y ln (7) = 4 ln (3)

Solve

2 y ln (7) = 4 ln (3) : y = \frac{2 ln ( 3 )}{ln ( 7 )}

y = \frac{2 ln ( 3 )}{ln ( 7 )}

ln (e^{x}) = x

e^{x^{2}} = 100

2^{x} - 4^{x} = - 12

\frac{3 ^{n - 2}}{9 ^{1 - n}} = 1

9^{x - 1} = 4^{2 x}

What is the answer to 7^{2y}=3^4 ?
The answer to 7^{2y}=3^4 is y=(2ln(3))/(ln(7))
Solve for y: 7^{2y}=3^4
The solution is y=(2ln(3))/(ln(7))