Exponential Inequalities - Different Base Practice Problems Online

Solve the inequality $2^{5x}\ge 5^{22-5x}.$

If the solution to the inequality $2 ^{1-5x} \le 50 ^{5x}$ is $x\ge k,$ what is $10^{10k}?$

Solve for $x:$ $3^{-3x+12}\leq11.$

x\geq 4-\frac{\log_{3}11}{3}

x\leq -4+\frac{\log_{3}11}{3}

x\leq 4-\frac{\log_{3}11}{3}

x\geq -4+\frac{\log_{3}11}{3}

Given that $\log2=0.301,$ what is the largest integer $x$ that satisfies $2^{x-3}<10^{2}?$

Solve for $x:$ $16^{x+2}\geq27^{-2x+3}.$

x\geq\frac{9\log3-8\log2}{4\log2+6\log3}

x\leq\frac{9\log3-8\log2}{4\log2+6\log3}

x\leq\frac{8\log2-9\log3}{6\log2+4\log3}

x\geq\frac{8\log2-9\log3}{6\log2+4\log3}

Exponential Inequalities - Different Base