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Popular >

(3/4)^n< 1/3

Solution

(\frac{3}{4})^{n} < \frac{1}{3}

Solution

n > lo g_{\frac{3}{4}} (\frac{1}{3})

+2

Interval Notation

(lo g_{\frac{3}{4}} (\frac{1}{3}), \infty)

Decimal Notation

n > 3.81884 \dots

Solution steps

(\frac{3}{4})^{n} < \frac{1}{3}

Apply exponent rules

n > lo g_{\frac{3}{4}} (\frac{1}{3})

Popular Examples

2 (5)^{x} > 250

solvefor t,(3/2)^{t-x^2}>(2/3)^{3x-1}solve for

t, (\frac{3}{2})^{t - x^{2}} > (\frac{2}{3})^{3 x - 1}

(1/5)^{2x^2-3x}>= 5

(\frac{1}{5})^{2 x^{2} - 3 x} \geq 5

(2^{x})^{2} \leq 1 5^{x}

1/(2^x-1)> 1/(1-2^{x-1)}

\frac{1}{2 ^{x} - 1} > \frac{1}{1 - 2 ^{x - 1}}

Frequently Asked Questions (FAQ)

What is (3/4)^n< 1/3 ?
The solution to (3/4)^n< 1/3 is n>log_{3/4}(1/3)