What is the answer to 11*10^{5t}=20 ?

The answer to 11*10^{5t}=20 is t=(ln(20/11))/(5ln(10))

Solve for t: 11*10^{5t}=20

The solution is t=(ln(20/11))/(5ln(10))

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11 \cdot 1 0^{5 t} = 20

t = \frac{ln ( \frac{20}{11} )}{5 ln ( 10 )}

Decimal Notation

t = 0.05192 \dots

Solution steps

11 \cdot 1 0^{5 t} = 20

Divide both sides by

11

1 0^{5 t} = \frac{20}{11}

Apply exponent rules

5 t ln (10) = ln (\frac{20}{11})

Solve

5 t ln (10) = ln (\frac{20}{11}) : t = \frac{ln ( \frac{20}{11} )}{5 ln ( 10 )}

t = \frac{ln ( \frac{20}{11} )}{5 ln ( 10 )}

x, 2^{x} = 2^{y}

9^{5 x} = 1024

y, x = e^{- y}

4^{x - 1} = 2

5 (1.2)^{x - 1} = 4

What is the answer to 11*10^{5t}=20 ?
The answer to 11*10^{5t}=20 is t=(ln(20/11))/(5ln(10))
Solve for t: 11*10^{5t}=20
The solution is t=(ln(20/11))/(5ln(10))