For questions 1 and 2, write the expression as a single logarithm.
1.
2 logbq + 8 logbt

a. logb (q2 + t8)
b. logb(q2t8)
c. logb(qt2 + 8)
d. (2 + 8) logb (q + t)

2.
4 log x – 6 log (x + 2)

a. 24 logx over x plus 2
b. log x4(x + 2)6
c. log x (x + 2)24
d. none of these

Properties of Logarithms score 100%

1. write the expression as a single logarithm

b) log_b(q2t8)

2. write the expression as a single logarithm

d) none of these

3. expand the logarithmic expression

b) log_5 7+5log_5a

4. use change of base formula to evaluate log_2 74

c) 6.209

5. a construction explosion has an intensity I of 1.25 x 10–4 W/m2. Find the loudness of the sound in decibels if W/m2. round to the nearest tenth.

a) 81 decibels

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step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.