What is the answer to 1.0057^{4t}=2.22717 ?

The answer to 1.0057^{4t}=2.22717 is t=(ln(2.22717))/(4ln(1.0057))

Solve for t: 1.0057^{4t}=2.22717

The solution is t=(ln(2.22717))/(4ln(1.0057))

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1.005 7^{4 t} = 2.22717

t = \frac{ln ( 2.22717 )}{4 ln ( 1.0057 )}

Decimal Notation

t = 35.21980 \dots

Solution steps

1.005 7^{4 t} = 2.22717

Apply exponent rules

4 t ln (1.0057) = ln (2.22717)

Solve

4 t ln (1.0057) = ln (2.22717) : t = \frac{ln ( 2.22717 )}{4 ln ( 1.0057 )}

t = \frac{ln ( 2.22717 )}{4 ln ( 1.0057 )}

0. 3^{x} = 4^{x^{2}}

4^{2 x - 6} = 48

432 = 2^{4} \cdot 3^{x}

12 = 650 (0.5)^{\frac{x}{2}}

2 7^{3} x - 1 = \frac{1}{8 1 ^{x}}

What is the answer to 1.0057^{4t}=2.22717 ?
The answer to 1.0057^{4t}=2.22717 is t=(ln(2.22717))/(4ln(1.0057))
Solve for t: 1.0057^{4t}=2.22717
The solution is t=(ln(2.22717))/(4ln(1.0057))