What is the answer to 1000/27 =(1312)^t ?

The answer to 1000/27 =(1312)^t is t=(ln(1000/27))/(ln(1312))

Solve for t: 1000/27 =(1312)^t

The solution is t=(ln(1000/27))/(ln(1312))

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\frac{1000}{27} = (1312)^{t}

t = \frac{ln ( \frac{1000}{27} )}{ln ( 1312 )}

Decimal Notation

t = 0.50310 \dots

Solution steps

\frac{1000}{27} = (1312)^{t}

Apply exponent rules

ln (\frac{1000}{27}) = t ln (1312)

Solve

ln (\frac{1000}{27}) = t ln (1312) : t = \frac{ln ( \frac{1000}{27} )}{ln ( 1312 )}

t = \frac{ln ( \frac{1000}{27} )}{ln ( 1312 )}

6 \cdot e^{0.25 x} = 9

2 7^{x} = 8 1^{1 - x}

30 = 24 + 45 e^{- 0.587 t}

x, 1 - e^{- x} = x

(e^{e})^{x} = 2

What is the answer to 1000/27 =(1312)^t ?
The answer to 1000/27 =(1312)^t is t=(ln(1000/27))/(ln(1312))
Solve for t: 1000/27 =(1312)^t
The solution is t=(ln(1000/27))/(ln(1312))