What is the answer to 26*3^{x/4}=25 ?

The answer to 26*3^{x/4}=25 is x=(4ln(25/26))/(ln(3))

Solve for x: 26*3^{x/4}=25

The solution is x=(4ln(25/26))/(ln(3))

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26 \cdot 3^{\frac{x}{4}} = 25

x = \frac{4 ln ( \frac{25}{26} )}{ln ( 3 )}

Decimal Notation

x = - 0.14280 \dots

Solution steps

26 \cdot 3^{\frac{x}{4}} = 25

Divide both sides by

26

3^{\frac{x}{4}} = \frac{25}{26}

Apply exponent rules

\frac{x}{4} ln (3) = ln (\frac{25}{26})

Solve

\frac{x}{4} ln (3) = ln (\frac{25}{26}) : x = \frac{4 ln ( \frac{25}{26} )}{ln ( 3 )}

x = \frac{4 ln ( \frac{25}{26} )}{ln ( 3 )}

1 6^{5 - x} = 4

2^{2 x + 1} = 50

e^{- 2 x} - 2 e^{- 2 x} x = 0

\frac{6 4 ^{2 x + 1}}{256} = 1 6^{x - 2}

8^{2 x + 1} = 2^{x}

What is the answer to 26*3^{x/4}=25 ?
The answer to 26*3^{x/4}=25 is x=(4ln(25/26))/(ln(3))
Solve for x: 26*3^{x/4}=25
The solution is x=(4ln(25/26))/(ln(3))