What is the answer to 81^{x/4}= 1/37 ?

The answer to 81^{x/4}= 1/37 is x=-(ln(37))/(ln(3))

Solve for x: 81^{x/4}= 1/37

The solution is x=-(ln(37))/(ln(3))

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8 1^{\frac{x}{4}} = \frac{1}{37}

x = - \frac{ln ( 37 )}{ln ( 3 )}

Solution steps

8 1^{\frac{x}{4}} = \frac{1}{37}

Multiply both sides by

37

8 1^{\frac{x}{4}} \cdot 37 = \frac{1}{37} \cdot 37

Simplify

8 1^{\frac{x}{4}} \cdot 37 = 1

Divide both sides by

37

8 1^{\frac{x}{4}} = \frac{1}{37}

Apply exponent rules

\frac{x}{4} ln (81) = ln (\frac{1}{37})

Solve

\frac{x}{4} ln (81) = ln (\frac{1}{37}) : x = - \frac{ln ( 37 )}{ln ( 3 )}

x = - \frac{ln ( 37 )}{ln ( 3 )}

5000000 = 1000000 e^{0.645 (t)}

2^{2 x} - 9 (2^{x}) + 8 = 0

5^{x} = \frac{5 ^{x}}{625}

4 e^{2 x - 3} - 5 = e

3394 = 3000 (1 + 0.025)^{x}

What is the answer to 81^{x/4}= 1/37 ?
The answer to 81^{x/4}= 1/37 is x=-(ln(37))/(ln(3))
Solve for x: 81^{x/4}= 1/37
The solution is x=-(ln(37))/(ln(3))