What is the exact solution to the equation 2^x+2 =5^2x ? A) −2ln2/2ln5−ln2 B) −ln2/2ln5+ln2 C) ln2/2ln5+ln2 D) 2ln2/2ln5−ln2
1 answer:
Answer: D
<u>Step-by-step explanation:</u>
2ˣ⁺² = 5²ˣ
ln 2ˣ⁺² = ln 5²ˣ <em>apply ln to both sides</em>
(x + 2) ln 2 = 2x ln 5 <em>apply exponent to coefficient log rule</em>
x ln 2 + 2 ln 2 = 2x ln 5 <em>distribute (x + 2) on left side</em>
2 ln 2 = 2x ln 5 - x ln 2 <em>subtract (x ln 2) from both sides</em>
2 ln 2 = x(2 ln 5 - ln 2) <em>factor out (x) from right side</em>
= x <em>divide both sides by (2 ln 5 - ln 2)</em>
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Given : Diamter of circular pizza =10 inches
Then, radius =
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