Question

plz plz answer the three questions step by step
don't right direct answer
plz I and plz( sarakaranindita018 plz can answer my questions)
(exponential equations)
plz answer my questions first.​

Answer 1

Answer:

$1)2 \\ 2)2 \\ 3) \frac{3}{2}$

Step-by-step explanation:

$(i) \: \: \bold{{2}^{2x} = 16 }\\ \\ {2}^{2x} = 16 \\ \\ = > {2}^{2x} = {2}^{4} \\ \\ = > 2x = 4 \\ \\ = > x = 2 \\ \\ \\ \\ (ii) \: \: \bold{ {3}^{x + 2} = 81} \\ \\ {3}^{x + 2} = 81 \\ \\ = > {3}^{x + 2} = {3}^{4} \\ \\ = > x + 2 = 4 \\ \\ = > x = 2 \\ \\ \\ \\ (iii) \: \: \bold{ {5}^{y} = 5 \sqrt{5} } \\ \\ {5}^{y} = 5 \sqrt{5} \\ \\ = > {5}^{y} = 5 \times {5}^{ \frac{1}{2} } \\ \\ = > {5}^{y} = {5}^{1 + \frac{1}{2} } \\ \\ = > y = 1 + \frac{1}{2} \\ \\ = > y = \frac{3}{2} \\\\\\\\FORMULAE\\\\if\:a^x=a^y\\=>x=y\\\\a^xa^y=a^{x+y}$

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