What is the answer to 22.33=16+54^{-k(25)} ?

The answer to 22.33=16+54^{-k(25)} is k=-(ln(6.33))/(25ln(54))

Solve for k: 22.33=16+54^{-k(25)}

The solution is k=-(ln(6.33))/(25ln(54))

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22.33 = 16 + 5 4^{- k (25)}

k = - \frac{ln ( 6.33 )}{25 ln ( 54 )}

Decimal Notation

k = - 0.01850 \dots

Solution steps

22.33 = 16 + 5 4^{- k (25)}

Switch sides

16 + 5 4^{- k 25} = 22.33

Move

16

to the right side

5 4^{- k 25} = 6.33

Apply exponent rules

- k \cdot 25 ln (54) = ln (6.33)

Solve

- k \cdot 25 ln (54) = ln (6.33) : k = - \frac{ln ( 6.33 )}{25 ln ( 54 )}

k = - \frac{ln ( 6.33 )}{25 ln ( 54 )}

7^{4 x} = 49

t, 0.1 = 50 (0. 9^{t})

3 e^{x} = 120

4 = 8^{x}

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

What is the answer to 22.33=16+54^{-k(25)} ?
The answer to 22.33=16+54^{-k(25)} is k=-(ln(6.33))/(25ln(54))
Solve for k: 22.33=16+54^{-k(25)}
The solution is k=-(ln(6.33))/(25ln(54))