What is the answer to 3*10^{2y}=42 ?

The answer to 3*10^{2y}=42 is y=(ln(14))/(2ln(10))

Solve for y: 3*10^{2y}=42

The solution is y=(ln(14))/(2ln(10))

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3 \cdot 1 0^{2 y} = 42

y = \frac{ln ( 14 )}{2 ln ( 10 )}

Decimal Notation

y = 0.57306 \dots

Solution steps

3 \cdot 1 0^{2 y} = 42

Divide both sides by

3

1 0^{2 y} = 14

Apply exponent rules

2 y ln (10) = ln (14)

Solve

2 y ln (10) = ln (14) : y = \frac{ln ( 14 )}{2 ln ( 10 )}

y = \frac{ln ( 14 )}{2 ln ( 10 )}

2^{x} = 900

e^{2 x} - 2 e^{x} - 35 = 0

2^{2 - x} = \frac{1}{8}

2 \cdot 3^{x - 2} = 54

What is the answer to 3*10^{2y}=42 ?
The answer to 3*10^{2y}=42 is y=(ln(14))/(2ln(10))
Solve for y: 3*10^{2y}=42
The solution is y=(ln(14))/(2ln(10))