Please try to solve all questions e fanction. Make sure won identihy the y inter

Question

Please try to solve all questions

e fanction. Make sure won identihy the y interept on the szapht 11) f4x, 2 46 8x :6 MULTIPLE CHOICE. Choose the one alternative that bes t completes the statement or answers the question. Solve the equation. 12) 16x-4=643x 2 16 Change the exponential expression to an equivalent expression involving a logarithm. 13) 53 125 A) log5 3 -125 B) log 125 5 -3 C) log5 125-3 D) log3 125-5 Change the logarithmic expression to an equivalent expression involving an exponent. 14) In x=4 A) x4 -e B)ex = 4 C)4e = x Find the exact value of the logarithmic expression. 15) In e8 A) d B) 8 C) 1 D) e Use a calculator to evaluate the expression. Round your answer to three decimal places 16 log 2+ log 2 In 2 In 9 A) 0.208 B)-0.922 C) -0.400 D) 0.000 Find the domain of the function. 17) f(x) = log(x + 9) B) (0, D)(9

Explanation / Answer

11) To find y-intercept take x = 0

y = 1/4 * 40 = 1/4 * 1 = 1/4

So the y-intercept is (0,1/4)

12) 16x - 4 = 643x

Or, (42)x - 4 = (43)3x

Or, 42x - 8 = 49x

Or 2x - 8 = 9x

Or, 7x = -8

Or, x = -8/7

Option-C is the correct answer.

13) Option-C

14) Option-D

15) Option-B

16) (log2 + log2)/(ln2 - ln9)

=( log (2 * 2))/ln(2/9)

= log4/ln(2/9)

= -0.400

Option-C is the correct answer

17) Option-A

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