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Popular >

(1/64)^{c-2}<32^{2c}

Solution

(\frac{1}{64})^{c - 2} < 3 2^{2 c}

Solution

c > \frac{3}{4}

+2

Solution steps

(\frac{1}{64})^{c - 2} < 3 2^{2 c}

If

f (x) < g (x)

then

ln (f (x)) < ln (g (x))

ln ((\frac{1}{64})^{c - 2}) < ln (3 2^{2 c})

Simplify

ln ((\frac{1}{64})^{c - 2}) : - 6 ln (2) (c - 2)

Simplify

ln (3 2^{2 c}) : 5 ln (2) \cdot 2 c

- 6 ln (2) (c - 2) < 5 ln (2) \cdot 2 c

- 6 ln (2) (c - 2) < 5 ln (2) \cdot 2 c : c > \frac{3}{4}

c > \frac{3}{4}

Popular Examples

-(2/3 a-1/3)+5/3 a=-4

- (\frac{2}{3} a - \frac{1}{3}) + \frac{5}{3} a = - 4

simplify (n/2)^2 simplify

(\frac{n}{2})^{2}

simplify 1.1^4 simplify

1. 1^{4}

simplify (-9+2i)/(5+3i)simplify

\frac{- 9 + 2 i}{5 + 3 i}

(\frac{3}{5})^{2} + y^{2} = 1

Frequently Asked Questions (FAQ)

What is (1/64)^{c-2}<32^{2c} ?
The solution to (1/64)^{c-2}<32^{2c} is c> 3/4