What is the answer to 1.02^{4t}=2 ?

The answer to 1.02^{4t}=2 is t=(ln(2))/(4ln(1.02))

Solve for t: 1.02^{4t}=2

The solution is t=(ln(2))/(4ln(1.02))

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1.0 2^{4 t} = 2

t = \frac{ln ( 2 )}{4 ln ( 1.02 )}

Decimal Notation

t = 8.75069 \dots

Solution steps

1.0 2^{4 t} = 2

Apply exponent rules

4 t ln (1.02) = ln (2)

Solve

4 t ln (1.02) = ln (2) : t = \frac{ln ( 2 )}{4 ln ( 1.02 )}

t = \frac{ln ( 2 )}{4 ln ( 1.02 )}

4 e^{- 5 x} = 2

0.001 = 1 0^{x}

4^{x} - 2^{x + 1} = 3

9^{x} = - 3

62 \cdot 2^{5 x} = 27

What is the answer to 1.02^{4t}=2 ?
The answer to 1.02^{4t}=2 is t=(ln(2))/(4ln(1.02))
Solve for t: 1.02^{4t}=2
The solution is t=(ln(2))/(4ln(1.02))