What is the answer to 4^{-3t}=0.1 ?

The answer to 4^{-3t}=0.1 is t=-(ln(0.1))/(6ln(2))

Solve for t: 4^{-3t}=0.1

The solution is t=-(ln(0.1))/(6ln(2))

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4^{- 3 t} = 0.1

t = - \frac{ln ( 0.1 )}{6 ln ( 2 )}

Decimal Notation

t = 0.55365 \dots

Solution steps

4^{- 3 t} = 0.1

Apply exponent rules

- 3 t ln (4) = ln (0.1)

Solve

- 3 t ln (4) = ln (0.1) : t = - \frac{ln ( 0.1 )}{6 ln ( 2 )}

t = - \frac{ln ( 0.1 )}{6 ln ( 2 )}

4^{(2 x + 1)} = 1024

3^{x} = e^{x + 2}

62 5^{x - 2} = 12 5^{x + 3}

8^{5 x} = \frac{1}{1 6 ^{4 x + 2}}

11.5 = 25 - 20 e^{- \frac{6 t}{50}}

What is the answer to 4^{-3t}=0.1 ?
The answer to 4^{-3t}=0.1 is t=-(ln(0.1))/(6ln(2))
Solve for t: 4^{-3t}=0.1
The solution is t=-(ln(0.1))/(6ln(2))