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Exercise 2 2.1. Write each expression as a single logarithm and, if possible, simplify. ln (x...

Exercise 2 2.1. Write each expression as a single logarithm and, if possible, simplify. ln (x - 4) - ln (x+ 2); ln (x) - 3 [ln (x - 5) + ln (x + 5)] ; log x − 3log(x – 1) 2.2. Solve for x. ln(x – 1)= 1 ; e2x = 4 ; log3x + log3(x2 – 8) = log38x ; 4x2(2x) − 9(2x) = 0

Solutions

Expert Solution

(1)

(A)

we have

we can use property of log

..........Answer

(B)

we have

we can use property of log

we can use property of log

...........Answer

(C)

we can use property of log

n*log(a)=log(a^n)

we can use property of log

............Answer

(2)

(A)

we can take e on both sides

...........Answer

(B)

we can take ln on both sides

............Answer

milcah answered 2 years ago
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