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Popular >

(2^x)^2<= 15^x

Solution

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

Solution

x \geq \frac{2 ln ( 2 ) a _{4}}{ln ( 15 )}

Solution steps

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

If

f (x) \leq g (x)

then

ln (f (x)) \leq ln (g (x))

ln ((2^{a_{4}})^{2}) \leq ln (1 5^{x})

Simplify

ln ((2^{a_{4}})^{2}) : 2 ln (2) a_{4}

Simplify

ln (1 5^{x}) : ln (15) x

2 ln (2) a_{4} \leq ln (15) x

2 ln (2) a_{4} \leq ln (15) x : x \geq \frac{2 ln ( 2 ) a _{4}}{ln ( 15 )}

x \geq \frac{2 ln ( 2 ) a _{4}}{ln ( 15 )}

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2^{x+2}>(1/4)^{1/x}

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Frequently Asked Questions (FAQ)

What is (2^x)^2<= 15^x ?
The solution to (2^x)^2<= 15^x is x>= (2ln(2)a_{4})/(ln(15))