What is the answer to 200=4^t ?

The answer to 200=4^t is t=(ln(200))/(2ln(2))

The solution is t=(ln(200))/(2ln(2))

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200=4^t

200 = 4^{t}

t = \frac{ln ( 200 )}{2 ln ( 2 )}

Decimal Notation

t = 3.82192 \dots

Solution steps

200 = 4^{t}

Apply exponent rules

ln (200) = t ln (4)

Solve

ln (200) = t ln (4) : t = \frac{ln ( 200 )}{2 ln ( 2 )}

t = \frac{ln ( 200 )}{2 ln ( 2 )}

B (t) = 2190 \cdot e^{- 0.3 t}

z, 0 = e^{2 x + 2 y + z}

5^{x + 1} = 625

e^{2 x} = 3 + x

x^{l o g_{2} (x)} = 2