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Popular >

4^{2x+6}<= 64^{2x-4}

Solution

4^{2 x + 6} \leq 6 4^{2 x - 4}

Solution

x \geq \frac{9}{2}

+2

Interval Notation

[\frac{9}{2}, \infty)

Decimal Notation

x \geq 4.5

Solution steps

4^{2 x + 6} \leq 6 4^{2 x - 4}

Apply exponent rules

2 x + 6 \leq 3 (2 x - 4)

2 x + 6 \leq 3 (2 x - 4) : x \geq \frac{9}{2}

x \geq \frac{9}{2}

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Frequently Asked Questions (FAQ)

What is 4^{2x+6}<= 64^{2x-4} ?
The solution to 4^{2x+6}<= 64^{2x-4} is x>= 9/2