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Popular >

sqrt((3/4)^{1-3x)}= 210/27

Solution

(\frac{3}{4})^{1 - 3 x} = \frac{210}{27}

Solution

x = - \frac{2 ln ( \frac{70}{9} ) - ln ( \frac{3}{4} )}{3 ln ( \frac{3}{4} )}

+1

Decimal Notation

x = 5.08689 \dots

Solution steps

(\frac{3}{4})^{1 - 3 x} = \frac{210}{27}

Apply exponent rules

(1 - 3 x) \frac{1}{2} ln (\frac{3}{4}) = ln (\frac{210}{27})

Solve

(1 - 3 x) \frac{1}{2} ln (\frac{3}{4}) = ln (\frac{210}{27}) : x = - \frac{2 ln ( \frac{70}{9} ) - ln ( \frac{3}{4} )}{3 ln ( \frac{3}{4} )}

x = - \frac{2 ln ( \frac{70}{9} ) - ln ( \frac{3}{4} )}{3 ln ( \frac{3}{4} )}

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Frequently Asked Questions (FAQ)

What is the answer to sqrt((3/4)^{1-3x)}= 210/27 ?
The answer to sqrt((3/4)^{1-3x)}= 210/27 is x=-(2ln(70/9)-ln(3/4))/(3ln(3/4))
Solve for x: sqrt((3/4)^{1-3x)}= 210/27
The solution is x=-(2ln(70/9)-ln(3/4))/(3ln(3/4))