Exponential Inequalities

Exponential Inequalities - Different Base


Solve the inequality 25x5225x.2^{5x}\ge 5^{22-5x}.

If the solution to the inequality 215x505x2 ^{1-5x} \le 50 ^{5x} is xk,x\ge k, what is 1010k?10^{10k}?

Solve for x:x: 33x+1211.3^{-3x+12}\leq11.

Given that log2=0.301,\log2=0.301, what is the largest integer xx that satisfies 2x3<102?2^{x-3}<10^{2}?

Solve for x:x: 16x+2272x+3.16^{x+2}\geq27^{-2x+3}.


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