What is 10^{x+2}<= 10^{(15)/x} ?

The solution to 10^{x+2}<= 10^{(15)/x} is x<=-5\lor 0<x<= 3

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10^{x+2}<= 10^{(15)/x}

1 0^{x + 2} \leq 1 0^{\frac{15}{x}}

x \leq - 5 or 0 < x \leq 3

Interval Notation

(- \infty, - 5] \cup (0, 3]

Solution steps

1 0^{x + 2} \leq 1 0^{\frac{15}{x}}

Apply exponent rules

x + 2 \leq \frac{15}{x}

x + 2 \leq \frac{15}{x} : x \leq - 5 or 0 < x \leq 3

x \leq - 5 or 0 < x \leq 3

Verify Solutions:

x \leq - 5 or 0 < x \leq 3

The solution is

x \leq - 5 or 0 < x \leq 3

228 > - 6 (- 3 - 5 x)

x^{2} + 4 x - 14 = 0

- 14 x - 5 = - 10 x - 45

\frac{9 \cdot 1 0 ^{4}}{3 \cdot 1 0 ^{- 2}}

x^{4} - x^{2} - 12

What is 10^{x+2}<= 10^{(15)/x} ?
The solution to 10^{x+2}<= 10^{(15)/x} is x<=-5\lor 0<x<= 3