What is the answer to 8*5^{(-t)/9}=346 ?

The answer to 8*5^{(-t)/9}=346 is t=-(9ln(173/4))/(ln(5))

Solve for t: 8*5^{(-t)/9}=346

The solution is t=-(9ln(173/4))/(ln(5))

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8 \cdot 5^{\frac{- t}{9}} = 346

t = - \frac{9 ln ( \frac{173}{4} )}{ln ( 5 )}

Decimal Notation

t = - 21.06510 \dots

Solution steps

8 \cdot 5^{\frac{- t}{9}} = 346

Divide both sides by

8

5^{\frac{- t}{9}} = \frac{173}{4}

Apply exponent rules

\frac{- t}{9} ln (5) = ln (\frac{173}{4})

Solve

\frac{- t}{9} ln (5) = ln (\frac{173}{4}) : t = - \frac{9 ln ( \frac{173}{4} )}{ln ( 5 )}

t = - \frac{9 ln ( \frac{173}{4} )}{ln ( 5 )}

3^{2 x + 1} - 10 \cdot 3^{x} + 3 = 0

5^{4 x - 2} = 2 5^{x + 1}

4^{(x + 3)} - 4^{(x + 2)} = 24

3^{x + 3} = 27

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

What is the answer to 8*5^{(-t)/9}=346 ?
The answer to 8*5^{(-t)/9}=346 is t=-(9ln(173/4))/(ln(5))
Solve for t: 8*5^{(-t)/9}=346
The solution is t=-(9ln(173/4))/(ln(5))