What is the answer to 10^{3y}=21 ?

The answer to 10^{3y}=21 is y=(ln(21))/(3ln(10))

Solve for y: 10^{3y}=21

The solution is y=(ln(21))/(3ln(10))

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1 0^{3 y} = 21

y = \frac{ln ( 21 )}{3 ln ( 10 )}

Decimal Notation

y = 0.44073 \dots

Solution steps

1 0^{3 y} = 21

Apply exponent rules

3 y ln (10) = ln (21)

Solve

3 y ln (10) = ln (21) : y = \frac{ln ( 21 )}{3 ln ( 10 )}

y = \frac{ln ( 21 )}{3 ln ( 10 )}

e^{2 x - 2} = 4

2^{2 x} - 6 \cdot 2^{x} - 16 = 0

2^{x - 5} = 5^{2 x + 6}

3^{x + 2} + 3^{x + 1} = 108

e^{x} - 3 e^{- x} - 2 = 0

What is the answer to 10^{3y}=21 ?
The answer to 10^{3y}=21 is y=(ln(21))/(3ln(10))
Solve for y: 10^{3y}=21
The solution is y=(ln(21))/(3ln(10))