What is the answer to 5^{3y}=64 ?

The answer to 5^{3y}=64 is y=(2ln(2))/(ln(5))

Solve for y: 5^{3y}=64

The solution is y=(2ln(2))/(ln(5))

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5^{3 y} = 64

y = \frac{2 ln ( 2 )}{ln ( 5 )}

Decimal Notation

y = 0.86135 \dots

Solution steps

5^{3 y} = 64

Apply exponent rules

3 y ln (5) = ln (64)

Solve

3 y ln (5) = ln (64) : y = \frac{2 ln ( 2 )}{ln ( 5 )}

y = \frac{2 ln ( 2 )}{ln ( 5 )}

5 ln (4 - 3^{x}) = 6

y, - 2^{y} + 5 = 7 x

5^{2 x + 3} = 125

57 = 2 5^{x}

\frac{5 ^{x + 1} - 5 ^{x}}{4} = 25